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Simplifying 13 = 2(x + -1) + 1 Reorder the terms: 13 = 2(-1 + x) + 1 13 = (-1 * 2 + x * 2) + 1 13 = (-2 + 2x) + 1 Reorder the terms: 13 = -2 + 1 + 2x Combine like terms: -2 + 1 = -1 13 = -1 + 2x Solving 13 = -1 + 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. 13 + -2x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + -2x = -1 + 0 13 + -2x = -1 Add '-13' to each side of the equation. 13 + -13 + -2x = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -1 + -13 -2x = -1 + -13 Combine like terms: -1 + -13 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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