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Simplifying 2(x + 4) = 12x + -42 Reorder the terms: 2(4 + x) = 12x + -42 (4 * 2 + x * 2) = 12x + -42 (8 + 2x) = 12x + -42 Reorder the terms: 8 + 2x = -42 + 12x Solving 8 + 2x = -42 + 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. 8 + 2x + -12x = -42 + 12x + -12x Combine like terms: 2x + -12x = -10x 8 + -10x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -10x = -42 + 0 8 + -10x = -42 Add '-8' to each side of the equation. 8 + -8 + -10x = -42 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -42 + -8 -10x = -42 + -8 Combine like terms: -42 + -8 = -50 -10x = -50 Divide each side by '-10'. x = 5 Simplifying x = 5
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