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Simplifying -2(-2x + 6) + -5x = 3(x + -6) + -4 Reorder the terms: -2(6 + -2x) + -5x = 3(x + -6) + -4 (6 * -2 + -2x * -2) + -5x = 3(x + -6) + -4 (-12 + 4x) + -5x = 3(x + -6) + -4 Combine like terms: 4x + -5x = -1x -12 + -1x = 3(x + -6) + -4 Reorder the terms: -12 + -1x = 3(-6 + x) + -4 -12 + -1x = (-6 * 3 + x * 3) + -4 -12 + -1x = (-18 + 3x) + -4 Reorder the terms: -12 + -1x = -18 + -4 + 3x Combine like terms: -18 + -4 = -22 -12 + -1x = -22 + 3x Solving -12 + -1x = -22 + 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 + -1x + -3x = -22 + 3x + -3x Combine like terms: -1x + -3x = -4x -12 + -4x = -22 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -4x = -22 + 0 -12 + -4x = -22 Add '12' to each side of the equation. -12 + 12 + -4x = -22 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -22 + 12 -4x = -22 + 12 Combine like terms: -22 + 12 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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