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Simplifying 6y(3x + -7) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y) Reorder the terms: 6y(-7 + 3x) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y) (-7 * 6y + 3x * 6y) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y) Reorder the terms: (18xy + -42y) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y) (18xy + -42y) + 8y + -3x(2x) = 14 + -9y + 2x(y + -3x + 16y) Remove parenthesis around (2x) 18xy + -42y + 8y + -3x * 2x = 14 + -9y + 2x(y + -3x + 16y) Reorder the terms for easier multiplication: 18xy + -42y + 8y + -3 * 2x * x = 14 + -9y + 2x(y + -3x + 16y) Multiply -3 * 2 18xy + -42y + 8y + -6x * x = 14 + -9y + 2x(y + -3x + 16y) Multiply x * x 18xy + -42y + 8y + -6x2 = 14 + -9y + 2x(y + -3x + 16y) Reorder the terms: 18xy + -6x2 + -42y + 8y = 14 + -9y + 2x(y + -3x + 16y) Combine like terms: -42y + 8y = -34y 18xy + -6x2 + -34y = 14 + -9y + 2x(y + -3x + 16y) Reorder the terms: 18xy + -6x2 + -34y = 14 + -9y + 2x(-3x + y + 16y) Combine like terms: y + 16y = 17y 18xy + -6x2 + -34y = 14 + -9y + 2x(-3x + 17y) 18xy + -6x2 + -34y = 14 + -9y + (-3x * 2x + 17y * 2x) Reorder the terms: 18xy + -6x2 + -34y = 14 + -9y + (34xy + -6x2) 18xy + -6x2 + -34y = 14 + -9y + (34xy + -6x2) Reorder the terms: 18xy + -6x2 + -34y = 14 + 34xy + -6x2 + -9y Add '6x2' to each side of the equation. 18xy + -6x2 + 6x2 + -34y = 14 + 34xy + -6x2 + 6x2 + -9y Combine like terms: -6x2 + 6x2 = 0 18xy + 0 + -34y = 14 + 34xy + -6x2 + 6x2 + -9y 18xy + -34y = 14 + 34xy + -6x2 + 6x2 + -9y Combine like terms: -6x2 + 6x2 = 0 18xy + -34y = 14 + 34xy + 0 + -9y 18xy + -34y = 14 + 34xy + -9y Solving 18xy + -34y = 14 + 34xy + -9y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34xy' to each side of the equation. 18xy + -34xy + -34y = 14 + 34xy + -34xy + -9y Combine like terms: 18xy + -34xy = -16xy -16xy + -34y = 14 + 34xy + -34xy + -9y Combine like terms: 34xy + -34xy = 0 -16xy + -34y = 14 + 0 + -9y -16xy + -34y = 14 + -9y Add '34y' to each side of the equation. -16xy + -34y + 34y = 14 + -9y + 34y Combine like terms: -34y + 34y = 0 -16xy + 0 = 14 + -9y + 34y -16xy = 14 + -9y + 34y Combine like terms: -9y + 34y = 25y -16xy = 14 + 25y Divide each side by '-16y'. x = -0.875y-1 + -1.5625 Simplifying x = -0.875y-1 + -1.5625 Reorder the terms: x = -1.5625 + -0.875y-1
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