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Simplifying 5x + -2(x + 1) + 15 = 8(x + 1) + -5(2x + -1) Reorder the terms: 5x + -2(1 + x) + 15 = 8(x + 1) + -5(2x + -1) 5x + (1 * -2 + x * -2) + 15 = 8(x + 1) + -5(2x + -1) 5x + (-2 + -2x) + 15 = 8(x + 1) + -5(2x + -1) Reorder the terms: -2 + 15 + 5x + -2x = 8(x + 1) + -5(2x + -1) Combine like terms: -2 + 15 = 13 13 + 5x + -2x = 8(x + 1) + -5(2x + -1) Combine like terms: 5x + -2x = 3x 13 + 3x = 8(x + 1) + -5(2x + -1) Reorder the terms: 13 + 3x = 8(1 + x) + -5(2x + -1) 13 + 3x = (1 * 8 + x * 8) + -5(2x + -1) 13 + 3x = (8 + 8x) + -5(2x + -1) Reorder the terms: 13 + 3x = 8 + 8x + -5(-1 + 2x) 13 + 3x = 8 + 8x + (-1 * -5 + 2x * -5) 13 + 3x = 8 + 8x + (5 + -10x) Reorder the terms: 13 + 3x = 8 + 5 + 8x + -10x Combine like terms: 8 + 5 = 13 13 + 3x = 13 + 8x + -10x Combine like terms: 8x + -10x = -2x 13 + 3x = 13 + -2x Add '-13' to each side of the equation. 13 + -13 + 3x = 13 + -13 + -2x Combine like terms: 13 + -13 = 0 0 + 3x = 13 + -13 + -2x 3x = 13 + -13 + -2x Combine like terms: 13 + -13 = 0 3x = 0 + -2x 3x = -2x Solving 3x = -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. 3x + 2x = -2x + 2x Combine like terms: 3x + 2x = 5x 5x = -2x + 2x Combine like terms: -2x + 2x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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