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Simplifying 8(x + 11) = 10(7 + x) Reorder the terms: 8(11 + x) = 10(7 + x) (11 * 8 + x * 8) = 10(7 + x) (88 + 8x) = 10(7 + x) 88 + 8x = (7 * 10 + x * 10) 88 + 8x = (70 + 10x) Solving 88 + 8x = 70 + 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. 88 + 8x + -10x = 70 + 10x + -10x Combine like terms: 8x + -10x = -2x 88 + -2x = 70 + 10x + -10x Combine like terms: 10x + -10x = 0 88 + -2x = 70 + 0 88 + -2x = 70 Add '-88' to each side of the equation. 88 + -88 + -2x = 70 + -88 Combine like terms: 88 + -88 = 0 0 + -2x = 70 + -88 -2x = 70 + -88 Combine like terms: 70 + -88 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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