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Simplifying 10(x + 8) = 8(x + 5) + 15 Reorder the terms: 10(8 + x) = 8(x + 5) + 15 (8 * 10 + x * 10) = 8(x + 5) + 15 (80 + 10x) = 8(x + 5) + 15 Reorder the terms: 80 + 10x = 8(5 + x) + 15 80 + 10x = (5 * 8 + x * 8) + 15 80 + 10x = (40 + 8x) + 15 Reorder the terms: 80 + 10x = 40 + 15 + 8x Combine like terms: 40 + 15 = 55 80 + 10x = 55 + 8x Solving 80 + 10x = 55 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 80 + 10x + -8x = 55 + 8x + -8x Combine like terms: 10x + -8x = 2x 80 + 2x = 55 + 8x + -8x Combine like terms: 8x + -8x = 0 80 + 2x = 55 + 0 80 + 2x = 55 Add '-80' to each side of the equation. 80 + -80 + 2x = 55 + -80 Combine like terms: 80 + -80 = 0 0 + 2x = 55 + -80 2x = 55 + -80 Combine like terms: 55 + -80 = -25 2x = -25 Divide each side by '2'. x = -12.5 Simplifying x = -12.5
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