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Simplifying 10(x + 8) = 9(x + -8) + 8 Reorder the terms: 10(8 + x) = 9(x + -8) + 8 (8 * 10 + x * 10) = 9(x + -8) + 8 (80 + 10x) = 9(x + -8) + 8 Reorder the terms: 80 + 10x = 9(-8 + x) + 8 80 + 10x = (-8 * 9 + x * 9) + 8 80 + 10x = (-72 + 9x) + 8 Reorder the terms: 80 + 10x = -72 + 8 + 9x Combine like terms: -72 + 8 = -64 80 + 10x = -64 + 9x Solving 80 + 10x = -64 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 80 + 10x + -9x = -64 + 9x + -9x Combine like terms: 10x + -9x = 1x 80 + 1x = -64 + 9x + -9x Combine like terms: 9x + -9x = 0 80 + 1x = -64 + 0 80 + 1x = -64 Add '-80' to each side of the equation. 80 + -80 + 1x = -64 + -80 Combine like terms: 80 + -80 = 0 0 + 1x = -64 + -80 1x = -64 + -80 Combine like terms: -64 + -80 = -144 1x = -144 Divide each side by '1'. x = -144 Simplifying x = -144
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