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Simplifying (35 + -1(2x + 1)) * 12 = (2x + 1) + 16 Reorder the terms: (35 + -1(1 + 2x)) * 12 = (2x + 1) + 16 (35 + (1 * -1 + 2x * -1)) * 12 = (2x + 1) + 16 (35 + (-1 + -2x)) * 12 = (2x + 1) + 16 Combine like terms: 35 + -1 = 34 (34 + -2x) * 12 = (2x + 1) + 16 Reorder the terms for easier multiplication: 12(34 + -2x) = (2x + 1) + 16 (34 * 12 + -2x * 12) = (2x + 1) + 16 (408 + -24x) = (2x + 1) + 16 Reorder the terms: 408 + -24x = (1 + 2x) + 16 Remove parenthesis around (1 + 2x) 408 + -24x = 1 + 2x + 16 Reorder the terms: 408 + -24x = 1 + 16 + 2x Combine like terms: 1 + 16 = 17 408 + -24x = 17 + 2x Solving 408 + -24x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 408 + -24x + -2x = 17 + 2x + -2x Combine like terms: -24x + -2x = -26x 408 + -26x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 408 + -26x = 17 + 0 408 + -26x = 17 Add '-408' to each side of the equation. 408 + -408 + -26x = 17 + -408 Combine like terms: 408 + -408 = 0 0 + -26x = 17 + -408 -26x = 17 + -408 Combine like terms: 17 + -408 = -391 -26x = -391 Divide each side by '-26'. x = 15.03846154 Simplifying x = 15.03846154
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