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Simplifying 2(x + 3) = 12(x + -7) Reorder the terms: 2(3 + x) = 12(x + -7) (3 * 2 + x * 2) = 12(x + -7) (6 + 2x) = 12(x + -7) Reorder the terms: 6 + 2x = 12(-7 + x) 6 + 2x = (-7 * 12 + x * 12) 6 + 2x = (-84 + 12x) Solving 6 + 2x = -84 + 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. 6 + 2x + -12x = -84 + 12x + -12x Combine like terms: 2x + -12x = -10x 6 + -10x = -84 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -10x = -84 + 0 6 + -10x = -84 Add '-6' to each side of the equation. 6 + -6 + -10x = -84 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = -84 + -6 -10x = -84 + -6 Combine like terms: -84 + -6 = -90 -10x = -90 Divide each side by '-10'. x = 9 Simplifying x = 9
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