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Simplifying 2(6x + 96) = (10x + -42) Reorder the terms: 2(96 + 6x) = (10x + -42) (96 * 2 + 6x * 2) = (10x + -42) (192 + 12x) = (10x + -42) Reorder the terms: 192 + 12x = (-42 + 10x) Remove parenthesis around (-42 + 10x) 192 + 12x = -42 + 10x Solving 192 + 12x = -42 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 192 + 12x + -10x = -42 + 10x + -10x Combine like terms: 12x + -10x = 2x 192 + 2x = -42 + 10x + -10x Combine like terms: 10x + -10x = 0 192 + 2x = -42 + 0 192 + 2x = -42 Add '-192' to each side of the equation. 192 + -192 + 2x = -42 + -192 Combine like terms: 192 + -192 = 0 0 + 2x = -42 + -192 2x = -42 + -192 Combine like terms: -42 + -192 = -234 2x = -234 Divide each side by '2'. x = -117 Simplifying x = -117
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