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Simplifying 35 + -1(2x + 1) * 12 = (2x + 1) + 16 Reorder the terms: 35 + -1(1 + 2x) * 12 = (2x + 1) + 16 Reorder the terms for easier multiplication: 35 + -1 * 12(1 + 2x) = (2x + 1) + 16 Multiply -1 * 12 35 + -12(1 + 2x) = (2x + 1) + 16 35 + (1 * -12 + 2x * -12) = (2x + 1) + 16 35 + (-12 + -24x) = (2x + 1) + 16 Combine like terms: 35 + -12 = 23 23 + -24x = (2x + 1) + 16 Reorder the terms: 23 + -24x = (1 + 2x) + 16 Remove parenthesis around (1 + 2x) 23 + -24x = 1 + 2x + 16 Reorder the terms: 23 + -24x = 1 + 16 + 2x Combine like terms: 1 + 16 = 17 23 + -24x = 17 + 2x Solving 23 + -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. 23 + -24x + -2x = 17 + 2x + -2x Combine like terms: -24x + -2x = -26x 23 + -26x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 23 + -26x = 17 + 0 23 + -26x = 17 Add '-23' to each side of the equation. 23 + -23 + -26x = 17 + -23 Combine like terms: 23 + -23 = 0 0 + -26x = 17 + -23 -26x = 17 + -23 Combine like terms: 17 + -23 = -6 -26x = -6 Divide each side by '-26'. x = 0.2307692308 Simplifying x = 0.2307692308
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