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