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Simplifying -5(x + -1) + -7 = 2(3 + -3x) Reorder the terms: -5(-1 + x) + -7 = 2(3 + -3x) (-1 * -5 + x * -5) + -7 = 2(3 + -3x) (5 + -5x) + -7 = 2(3 + -3x) Reorder the terms: 5 + -7 + -5x = 2(3 + -3x) Combine like terms: 5 + -7 = -2 -2 + -5x = 2(3 + -3x) -2 + -5x = (3 * 2 + -3x * 2) -2 + -5x = (6 + -6x) Solving -2 + -5x = 6 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -2 + -5x + 6x = 6 + -6x + 6x Combine like terms: -5x + 6x = 1x -2 + 1x = 6 + -6x + 6x Combine like terms: -6x + 6x = 0 -2 + 1x = 6 + 0 -2 + 1x = 6 Add '2' to each side of the equation. -2 + 2 + 1x = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 6 + 2 1x = 6 + 2 Combine like terms: 6 + 2 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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