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Simplifying -1(2x + 2) + 2(-1x + -4) = -1x + 20 Reorder the terms: -1(2 + 2x) + 2(-1x + -4) = -1x + 20 (2 * -1 + 2x * -1) + 2(-1x + -4) = -1x + 20 (-2 + -2x) + 2(-1x + -4) = -1x + 20 Reorder the terms: -2 + -2x + 2(-4 + -1x) = -1x + 20 -2 + -2x + (-4 * 2 + -1x * 2) = -1x + 20 -2 + -2x + (-8 + -2x) = -1x + 20 Reorder the terms: -2 + -8 + -2x + -2x = -1x + 20 Combine like terms: -2 + -8 = -10 -10 + -2x + -2x = -1x + 20 Combine like terms: -2x + -2x = -4x -10 + -4x = -1x + 20 Reorder the terms: -10 + -4x = 20 + -1x Solving -10 + -4x = 20 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + -4x + x = 20 + -1x + x Combine like terms: -4x + x = -3x -10 + -3x = 20 + -1x + x Combine like terms: -1x + x = 0 -10 + -3x = 20 + 0 -10 + -3x = 20 Add '10' to each side of the equation. -10 + 10 + -3x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 20 + 10 -3x = 20 + 10 Combine like terms: 20 + 10 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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