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Simplifying 3x + (13 + -1x) = 15 + -1(9 + -1x) Remove parenthesis around (13 + -1x) 3x + 13 + -1x = 15 + -1(9 + -1x) Reorder the terms: 13 + 3x + -1x = 15 + -1(9 + -1x) Combine like terms: 3x + -1x = 2x 13 + 2x = 15 + -1(9 + -1x) 13 + 2x = 15 + (9 * -1 + -1x * -1) 13 + 2x = 15 + (-9 + 1x) Combine like terms: 15 + -9 = 6 13 + 2x = 6 + 1x Solving 13 + 2x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + 2x + -1x = 6 + 1x + -1x Combine like terms: 2x + -1x = 1x 13 + 1x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 13 + 1x = 6 + 0 13 + 1x = 6 Add '-13' to each side of the equation. 13 + -13 + 1x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 6 + -13 1x = 6 + -13 Combine like terms: 6 + -13 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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