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Simplifying 2(x + -2) + 3(2x + 2) = -5(2 + -1x) Reorder the terms: 2(-2 + x) + 3(2x + 2) = -5(2 + -1x) (-2 * 2 + x * 2) + 3(2x + 2) = -5(2 + -1x) (-4 + 2x) + 3(2x + 2) = -5(2 + -1x) Reorder the terms: -4 + 2x + 3(2 + 2x) = -5(2 + -1x) -4 + 2x + (2 * 3 + 2x * 3) = -5(2 + -1x) -4 + 2x + (6 + 6x) = -5(2 + -1x) Reorder the terms: -4 + 6 + 2x + 6x = -5(2 + -1x) Combine like terms: -4 + 6 = 2 2 + 2x + 6x = -5(2 + -1x) Combine like terms: 2x + 6x = 8x 2 + 8x = -5(2 + -1x) 2 + 8x = (2 * -5 + -1x * -5) 2 + 8x = (-10 + 5x) Solving 2 + 8x = -10 + 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. 2 + 8x + -5x = -10 + 5x + -5x Combine like terms: 8x + -5x = 3x 2 + 3x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + 3x = -10 + 0 2 + 3x = -10 Add '-2' to each side of the equation. 2 + -2 + 3x = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = -10 + -2 3x = -10 + -2 Combine like terms: -10 + -2 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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