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Simplifying -5x + 6 = 2(6 + -1x) Reorder the terms: 6 + -5x = 2(6 + -1x) 6 + -5x = (6 * 2 + -1x * 2) 6 + -5x = (12 + -2x) Solving 6 + -5x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + -5x + 2x = 12 + -2x + 2x Combine like terms: -5x + 2x = -3x 6 + -3x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -3x = 12 + 0 6 + -3x = 12 Add '-6' to each side of the equation. 6 + -6 + -3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 12 + -6 -3x = 12 + -6 Combine like terms: 12 + -6 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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