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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 Reorder the terms: 35 + -1 + 12 + -2x = (2x + 1) + 16 Combine like terms: 35 + -1 = 34 34 + 12 + -2x = (2x + 1) + 16 Combine like terms: 34 + 12 = 46 46 + -2x = (2x + 1) + 16 Reorder the terms: 46 + -2x = (1 + 2x) + 16 Remove parenthesis around (1 + 2x) 46 + -2x = 1 + 2x + 16 Reorder the terms: 46 + -2x = 1 + 16 + 2x Combine like terms: 1 + 16 = 17 46 + -2x = 17 + 2x Solving 46 + -2x = 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. 46 + -2x + -2x = 17 + 2x + -2x Combine like terms: -2x + -2x = -4x 46 + -4x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 46 + -4x = 17 + 0 46 + -4x = 17 Add '-46' to each side of the equation. 46 + -46 + -4x = 17 + -46 Combine like terms: 46 + -46 = 0 0 + -4x = 17 + -46 -4x = 17 + -46 Combine like terms: 17 + -46 = -29 -4x = -29 Divide each side by '-4'. x = 7.25 Simplifying x = 7.25
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