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Simplifying 7(2x + 15) + -28 = 35(1 + -1x) + -7 Reorder the terms: 7(15 + 2x) + -28 = 35(1 + -1x) + -7 (15 * 7 + 2x * 7) + -28 = 35(1 + -1x) + -7 (105 + 14x) + -28 = 35(1 + -1x) + -7 Reorder the terms: 105 + -28 + 14x = 35(1 + -1x) + -7 Combine like terms: 105 + -28 = 77 77 + 14x = 35(1 + -1x) + -7 77 + 14x = (1 * 35 + -1x * 35) + -7 77 + 14x = (35 + -35x) + -7 Reorder the terms: 77 + 14x = 35 + -7 + -35x Combine like terms: 35 + -7 = 28 77 + 14x = 28 + -35x Solving 77 + 14x = 28 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 77 + 14x + 35x = 28 + -35x + 35x Combine like terms: 14x + 35x = 49x 77 + 49x = 28 + -35x + 35x Combine like terms: -35x + 35x = 0 77 + 49x = 28 + 0 77 + 49x = 28 Add '-77' to each side of the equation. 77 + -77 + 49x = 28 + -77 Combine like terms: 77 + -77 = 0 0 + 49x = 28 + -77 49x = 28 + -77 Combine like terms: 28 + -77 = -49 49x = -49 Divide each side by '49'. x = -1 Simplifying x = -1
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