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Simplifying 3(y + -2) + 4x = 4y + 2(5 + 7x) Reorder the terms: 3(-2 + y) + 4x = 4y + 2(5 + 7x) (-2 * 3 + y * 3) + 4x = 4y + 2(5 + 7x) (-6 + 3y) + 4x = 4y + 2(5 + 7x) Reorder the terms: -6 + 4x + 3y = 4y + 2(5 + 7x) -6 + 4x + 3y = 4y + (5 * 2 + 7x * 2) -6 + 4x + 3y = 4y + (10 + 14x) Reorder the terms: -6 + 4x + 3y = 10 + 14x + 4y Solving -6 + 4x + 3y = 10 + 14x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -6 + 4x + -14x + 3y = 10 + 14x + -14x + 4y Combine like terms: 4x + -14x = -10x -6 + -10x + 3y = 10 + 14x + -14x + 4y Combine like terms: 14x + -14x = 0 -6 + -10x + 3y = 10 + 0 + 4y -6 + -10x + 3y = 10 + 4y Add '6' to each side of the equation. -6 + -10x + 6 + 3y = 10 + 6 + 4y Reorder the terms: -6 + 6 + -10x + 3y = 10 + 6 + 4y Combine like terms: -6 + 6 = 0 0 + -10x + 3y = 10 + 6 + 4y -10x + 3y = 10 + 6 + 4y Combine like terms: 10 + 6 = 16 -10x + 3y = 16 + 4y Add '-3y' to each side of the equation. -10x + 3y + -3y = 16 + 4y + -3y Combine like terms: 3y + -3y = 0 -10x + 0 = 16 + 4y + -3y -10x = 16 + 4y + -3y Combine like terms: 4y + -3y = 1y -10x = 16 + 1y Divide each side by '-10'. x = -1.6 + -0.1y Simplifying x = -1.6 + -0.1y
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