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Simplifying -1[10x + -1(13x + 7)] = 7 + (2x + 1) Reorder the terms: -1[10x + -1(7 + 13x)] = 7 + (2x + 1) -1[10x + (7 * -1 + 13x * -1)] = 7 + (2x + 1) -1[10x + (-7 + -13x)] = 7 + (2x + 1) Reorder the terms: -1[-7 + 10x + -13x] = 7 + (2x + 1) Combine like terms: 10x + -13x = -3x -1[-7 + -3x] = 7 + (2x + 1) [-7 * -1 + -3x * -1] = 7 + (2x + 1) [7 + 3x] = 7 + (2x + 1) Reorder the terms: 7 + 3x = 7 + (1 + 2x) Remove parenthesis around (1 + 2x) 7 + 3x = 7 + 1 + 2x Combine like terms: 7 + 1 = 8 7 + 3x = 8 + 2x Solving 7 + 3x = 8 + 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. 7 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x 7 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 1x = 8 + 0 7 + 1x = 8 Add '-7' to each side of the equation. 7 + -7 + 1x = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 8 + -7 1x = 8 + -7 Combine like terms: 8 + -7 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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