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Simplifying x + 1(x + 5) = x + 2(x + 3) Reorder the terms: x + 1(5 + x) = x + 2(x + 3) x + (5 * 1 + x * 1) = x + 2(x + 3) x + (5 + 1x) = x + 2(x + 3) Reorder the terms: 5 + x + 1x = x + 2(x + 3) Combine like terms: x + 1x = 2x 5 + 2x = x + 2(x + 3) Reorder the terms: 5 + 2x = x + 2(3 + x) 5 + 2x = x + (3 * 2 + x * 2) 5 + 2x = x + (6 + 2x) Reorder the terms: 5 + 2x = 6 + x + 2x Combine like terms: x + 2x = 3x 5 + 2x = 6 + 3x Solving 5 + 2x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 5 + 2x + -3x = 6 + 3x + -3x Combine like terms: 2x + -3x = -1x 5 + -1x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -1x = 6 + 0 5 + -1x = 6 Add '-5' to each side of the equation. 5 + -5 + -1x = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 6 + -5 -1x = 6 + -5 Combine like terms: 6 + -5 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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