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Simplifying 5x + -1(x + 2) + 3 = 15 + -2(x + 1) Reorder the terms: 5x + -1(2 + x) + 3 = 15 + -2(x + 1) 5x + (2 * -1 + x * -1) + 3 = 15 + -2(x + 1) 5x + (-2 + -1x) + 3 = 15 + -2(x + 1) Reorder the terms: -2 + 3 + 5x + -1x = 15 + -2(x + 1) Combine like terms: -2 + 3 = 1 1 + 5x + -1x = 15 + -2(x + 1) Combine like terms: 5x + -1x = 4x 1 + 4x = 15 + -2(x + 1) Reorder the terms: 1 + 4x = 15 + -2(1 + x) 1 + 4x = 15 + (1 * -2 + x * -2) 1 + 4x = 15 + (-2 + -2x) Combine like terms: 15 + -2 = 13 1 + 4x = 13 + -2x Solving 1 + 4x = 13 + -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. 1 + 4x + 2x = 13 + -2x + 2x Combine like terms: 4x + 2x = 6x 1 + 6x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 6x = 13 + 0 1 + 6x = 13 Add '-1' to each side of the equation. 1 + -1 + 6x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 13 + -1 6x = 13 + -1 Combine like terms: 13 + -1 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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