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Simplifying -7x + 12 = 3(x + -6) Reorder the terms: 12 + -7x = 3(x + -6) Reorder the terms: 12 + -7x = 3(-6 + x) 12 + -7x = (-6 * 3 + x * 3) 12 + -7x = (-18 + 3x) Solving 12 + -7x = -18 + 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 + -7x + -3x = -18 + 3x + -3x Combine like terms: -7x + -3x = -10x 12 + -10x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -10x = -18 + 0 12 + -10x = -18 Add '-12' to each side of the equation. 12 + -12 + -10x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -18 + -12 -10x = -18 + -12 Combine like terms: -18 + -12 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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