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Simplifying -3(3 + -1x) + 2 + -5x = x + 2(2x + -7) (3 * -3 + -1x * -3) + 2 + -5x = x + 2(2x + -7) (-9 + 3x) + 2 + -5x = x + 2(2x + -7) Reorder the terms: -9 + 2 + 3x + -5x = x + 2(2x + -7) Combine like terms: -9 + 2 = -7 -7 + 3x + -5x = x + 2(2x + -7) Combine like terms: 3x + -5x = -2x -7 + -2x = x + 2(2x + -7) Reorder the terms: -7 + -2x = x + 2(-7 + 2x) -7 + -2x = x + (-7 * 2 + 2x * 2) -7 + -2x = x + (-14 + 4x) Reorder the terms: -7 + -2x = -14 + x + 4x Combine like terms: x + 4x = 5x -7 + -2x = -14 + 5x Solving -7 + -2x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -7 + -2x + -5x = -14 + 5x + -5x Combine like terms: -2x + -5x = -7x -7 + -7x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -7x = -14 + 0 -7 + -7x = -14 Add '7' to each side of the equation. -7 + 7 + -7x = -14 + 7 Combine like terms: -7 + 7 = 0 0 + -7x = -14 + 7 -7x = -14 + 7 Combine like terms: -14 + 7 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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