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Simplifying 5(x + -1) + -2 = -3(-2x + 3) + -5x Reorder the terms: 5(-1 + x) + -2 = -3(-2x + 3) + -5x (-1 * 5 + x * 5) + -2 = -3(-2x + 3) + -5x (-5 + 5x) + -2 = -3(-2x + 3) + -5x Reorder the terms: -5 + -2 + 5x = -3(-2x + 3) + -5x Combine like terms: -5 + -2 = -7 -7 + 5x = -3(-2x + 3) + -5x Reorder the terms: -7 + 5x = -3(3 + -2x) + -5x -7 + 5x = (3 * -3 + -2x * -3) + -5x -7 + 5x = (-9 + 6x) + -5x Combine like terms: 6x + -5x = 1x -7 + 5x = -9 + 1x Solving -7 + 5x = -9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -7 + 5x + -1x = -9 + 1x + -1x Combine like terms: 5x + -1x = 4x -7 + 4x = -9 + 1x + -1x Combine like terms: 1x + -1x = 0 -7 + 4x = -9 + 0 -7 + 4x = -9 Add '7' to each side of the equation. -7 + 7 + 4x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = -9 + 7 4x = -9 + 7 Combine like terms: -9 + 7 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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