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Simplifying 2(x + -2) + 4(2x + 2) = -5(2 + -1x) Reorder the terms: 2(-2 + x) + 4(2x + 2) = -5(2 + -1x) (-2 * 2 + x * 2) + 4(2x + 2) = -5(2 + -1x) (-4 + 2x) + 4(2x + 2) = -5(2 + -1x) Reorder the terms: -4 + 2x + 4(2 + 2x) = -5(2 + -1x) -4 + 2x + (2 * 4 + 2x * 4) = -5(2 + -1x) -4 + 2x + (8 + 8x) = -5(2 + -1x) Reorder the terms: -4 + 8 + 2x + 8x = -5(2 + -1x) Combine like terms: -4 + 8 = 4 4 + 2x + 8x = -5(2 + -1x) Combine like terms: 2x + 8x = 10x 4 + 10x = -5(2 + -1x) 4 + 10x = (2 * -5 + -1x * -5) 4 + 10x = (-10 + 5x) Solving 4 + 10x = -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. 4 + 10x + -5x = -10 + 5x + -5x Combine like terms: 10x + -5x = 5x 4 + 5x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 5x = -10 + 0 4 + 5x = -10 Add '-4' to each side of the equation. 4 + -4 + 5x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 5x = -10 + -4 5x = -10 + -4 Combine like terms: -10 + -4 = -14 5x = -14 Divide each side by '5'. x = -2.8 Simplifying x = -2.8
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