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Simplifying 2(x + -6) + 9 = 12x + -12 Reorder the terms: 2(-6 + x) + 9 = 12x + -12 (-6 * 2 + x * 2) + 9 = 12x + -12 (-12 + 2x) + 9 = 12x + -12 Reorder the terms: -12 + 9 + 2x = 12x + -12 Combine like terms: -12 + 9 = -3 -3 + 2x = 12x + -12 Reorder the terms: -3 + 2x = -12 + 12x Solving -3 + 2x = -12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 2x + -12x = -12 + 12x + -12x Combine like terms: 2x + -12x = -10x -3 + -10x = -12 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -10x = -12 + 0 -3 + -10x = -12 Add '3' to each side of the equation. -3 + 3 + -10x = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = -12 + 3 -10x = -12 + 3 Combine like terms: -12 + 3 = -9 -10x = -9 Divide each side by '-10'. x = 0.9 Simplifying x = 0.9
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