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Simplifying 7x + -7 + 8x + 8 = -2(x + -5) + 7(x + 3) Reorder the terms: -7 + 8 + 7x + 8x = -2(x + -5) + 7(x + 3) Combine like terms: -7 + 8 = 1 1 + 7x + 8x = -2(x + -5) + 7(x + 3) Combine like terms: 7x + 8x = 15x 1 + 15x = -2(x + -5) + 7(x + 3) Reorder the terms: 1 + 15x = -2(-5 + x) + 7(x + 3) 1 + 15x = (-5 * -2 + x * -2) + 7(x + 3) 1 + 15x = (10 + -2x) + 7(x + 3) Reorder the terms: 1 + 15x = 10 + -2x + 7(3 + x) 1 + 15x = 10 + -2x + (3 * 7 + x * 7) 1 + 15x = 10 + -2x + (21 + 7x) Reorder the terms: 1 + 15x = 10 + 21 + -2x + 7x Combine like terms: 10 + 21 = 31 1 + 15x = 31 + -2x + 7x Combine like terms: -2x + 7x = 5x 1 + 15x = 31 + 5x Solving 1 + 15x = 31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 15x + -5x = 31 + 5x + -5x Combine like terms: 15x + -5x = 10x 1 + 10x = 31 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 10x = 31 + 0 1 + 10x = 31 Add '-1' to each side of the equation. 1 + -1 + 10x = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 10x = 31 + -1 10x = 31 + -1 Combine like terms: 31 + -1 = 30 10x = 30 Divide each side by '10'. x = 3 Simplifying x = 3
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