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Simplifying 13 + -5(x + -2) = 7 + -1(x + 1) Reorder the terms: 13 + -5(-2 + x) = 7 + -1(x + 1) 13 + (-2 * -5 + x * -5) = 7 + -1(x + 1) 13 + (10 + -5x) = 7 + -1(x + 1) Combine like terms: 13 + 10 = 23 23 + -5x = 7 + -1(x + 1) Reorder the terms: 23 + -5x = 7 + -1(1 + x) 23 + -5x = 7 + (1 * -1 + x * -1) 23 + -5x = 7 + (-1 + -1x) Combine like terms: 7 + -1 = 6 23 + -5x = 6 + -1x Solving 23 + -5x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 23 + -5x + x = 6 + -1x + x Combine like terms: -5x + x = -4x 23 + -4x = 6 + -1x + x Combine like terms: -1x + x = 0 23 + -4x = 6 + 0 23 + -4x = 6 Add '-23' to each side of the equation. 23 + -23 + -4x = 6 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = 6 + -23 -4x = 6 + -23 Combine like terms: 6 + -23 = -17 -4x = -17 Divide each side by '-4'. x = 4.25 Simplifying x = 4.25
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