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Simplifying 8(x + 4) = -10(x + -5) + -5 Reorder the terms: 8(4 + x) = -10(x + -5) + -5 (4 * 8 + x * 8) = -10(x + -5) + -5 (32 + 8x) = -10(x + -5) + -5 Reorder the terms: 32 + 8x = -10(-5 + x) + -5 32 + 8x = (-5 * -10 + x * -10) + -5 32 + 8x = (50 + -10x) + -5 Reorder the terms: 32 + 8x = 50 + -5 + -10x Combine like terms: 50 + -5 = 45 32 + 8x = 45 + -10x Solving 32 + 8x = 45 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 32 + 8x + 10x = 45 + -10x + 10x Combine like terms: 8x + 10x = 18x 32 + 18x = 45 + -10x + 10x Combine like terms: -10x + 10x = 0 32 + 18x = 45 + 0 32 + 18x = 45 Add '-32' to each side of the equation. 32 + -32 + 18x = 45 + -32 Combine like terms: 32 + -32 = 0 0 + 18x = 45 + -32 18x = 45 + -32 Combine like terms: 45 + -32 = 13 18x = 13 Divide each side by '18'. x = 0.7222222222 Simplifying x = 0.7222222222
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