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Simplifying -2(2x + 2) + -3(1 + -1x) = 3(5x + 2) + -5 Reorder the terms: -2(2 + 2x) + -3(1 + -1x) = 3(5x + 2) + -5 (2 * -2 + 2x * -2) + -3(1 + -1x) = 3(5x + 2) + -5 (-4 + -4x) + -3(1 + -1x) = 3(5x + 2) + -5 -4 + -4x + (1 * -3 + -1x * -3) = 3(5x + 2) + -5 -4 + -4x + (-3 + 3x) = 3(5x + 2) + -5 Reorder the terms: -4 + -3 + -4x + 3x = 3(5x + 2) + -5 Combine like terms: -4 + -3 = -7 -7 + -4x + 3x = 3(5x + 2) + -5 Combine like terms: -4x + 3x = -1x -7 + -1x = 3(5x + 2) + -5 Reorder the terms: -7 + -1x = 3(2 + 5x) + -5 -7 + -1x = (2 * 3 + 5x * 3) + -5 -7 + -1x = (6 + 15x) + -5 Reorder the terms: -7 + -1x = 6 + -5 + 15x Combine like terms: 6 + -5 = 1 -7 + -1x = 1 + 15x Solving -7 + -1x = 1 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -7 + -1x + -15x = 1 + 15x + -15x Combine like terms: -1x + -15x = -16x -7 + -16x = 1 + 15x + -15x Combine like terms: 15x + -15x = 0 -7 + -16x = 1 + 0 -7 + -16x = 1 Add '7' to each side of the equation. -7 + 7 + -16x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -16x = 1 + 7 -16x = 1 + 7 Combine like terms: 1 + 7 = 8 -16x = 8 Divide each side by '-16'. x = -0.5 Simplifying x = -0.5
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