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Simplifying -3x + -2(y + -5) + -1(7 + -1x) = 0 Reorder the terms: -3x + -2(-5 + y) + -1(7 + -1x) = 0 -3x + (-5 * -2 + y * -2) + -1(7 + -1x) = 0 -3x + (10 + -2y) + -1(7 + -1x) = 0 -3x + 10 + -2y + (7 * -1 + -1x * -1) = 0 -3x + 10 + -2y + (-7 + 1x) = 0 Reorder the terms: 10 + -7 + -3x + 1x + -2y = 0 Combine like terms: 10 + -7 = 3 3 + -3x + 1x + -2y = 0 Combine like terms: -3x + 1x = -2x 3 + -2x + -2y = 0 Solving 3 + -2x + -2y = 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 + -2y = 0 + -3 Reorder the terms: 3 + -3 + -2x + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x + -2y = 0 + -3 -2x + -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2x + -2y = -3 Add '2y' to each side of the equation. -2x + -2y + 2y = -3 + 2y Combine like terms: -2y + 2y = 0 -2x + 0 = -3 + 2y -2x = -3 + 2y Divide each side by '-2'. x = 1.5 + -1y Simplifying x = 1.5 + -1y
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