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Simplifying -2(2x + 5) + -2 = -5(x + 4) + 2x Reorder the terms: -2(5 + 2x) + -2 = -5(x + 4) + 2x (5 * -2 + 2x * -2) + -2 = -5(x + 4) + 2x (-10 + -4x) + -2 = -5(x + 4) + 2x Reorder the terms: -10 + -2 + -4x = -5(x + 4) + 2x Combine like terms: -10 + -2 = -12 -12 + -4x = -5(x + 4) + 2x Reorder the terms: -12 + -4x = -5(4 + x) + 2x -12 + -4x = (4 * -5 + x * -5) + 2x -12 + -4x = (-20 + -5x) + 2x Combine like terms: -5x + 2x = -3x -12 + -4x = -20 + -3x Solving -12 + -4x = -20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + -4x + 3x = -20 + -3x + 3x Combine like terms: -4x + 3x = -1x -12 + -1x = -20 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + -1x = -20 + 0 -12 + -1x = -20 Add '12' to each side of the equation. -12 + 12 + -1x = -20 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = -20 + 12 -1x = -20 + 12 Combine like terms: -20 + 12 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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