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Simplifying 10y + -1(4 + 2x) + 7(y + 1) = 0 10y + (4 * -1 + 2x * -1) + 7(y + 1) = 0 10y + (-4 + -2x) + 7(y + 1) = 0 Reorder the terms: 10y + -4 + -2x + 7(1 + y) = 0 10y + -4 + -2x + (1 * 7 + y * 7) = 0 10y + -4 + -2x + (7 + 7y) = 0 Reorder the terms: -4 + 7 + -2x + 10y + 7y = 0 Combine like terms: -4 + 7 = 3 3 + -2x + 10y + 7y = 0 Combine like terms: 10y + 7y = 17y 3 + -2x + 17y = 0 Solving 3 + -2x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2x + -3 + 17y = 0 + -3 Reorder the terms: 3 + -3 + -2x + 17y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x + 17y = 0 + -3 -2x + 17y = 0 + -3 Combine like terms: 0 + -3 = -3 -2x + 17y = -3 Add '-17y' to each side of the equation. -2x + 17y + -17y = -3 + -17y Combine like terms: 17y + -17y = 0 -2x + 0 = -3 + -17y -2x = -3 + -17y Divide each side by '-2'. x = 1.5 + 8.5y Simplifying x = 1.5 + 8.5y
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