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Simplifying 8(x + 4) + -10(x + 1) = 0 Reorder the terms: 8(4 + x) + -10(x + 1) = 0 (4 * 8 + x * 8) + -10(x + 1) = 0 (32 + 8x) + -10(x + 1) = 0 Reorder the terms: 32 + 8x + -10(1 + x) = 0 32 + 8x + (1 * -10 + x * -10) = 0 32 + 8x + (-10 + -10x) = 0 Reorder the terms: 32 + -10 + 8x + -10x = 0 Combine like terms: 32 + -10 = 22 22 + 8x + -10x = 0 Combine like terms: 8x + -10x = -2x 22 + -2x = 0 Solving 22 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -2x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = 0 + -22 -2x = 0 + -22 Combine like terms: 0 + -22 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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