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Simplifying 8(8 + x + 3) = 10(10 + x + -6) Reorder the terms: 8(8 + 3 + x) = 10(10 + x + -6) Combine like terms: 8 + 3 = 11 8(11 + x) = 10(10 + x + -6) (11 * 8 + x * 8) = 10(10 + x + -6) (88 + 8x) = 10(10 + x + -6) Reorder the terms: 88 + 8x = 10(10 + -6 + x) Combine like terms: 10 + -6 = 4 88 + 8x = 10(4 + x) 88 + 8x = (4 * 10 + x * 10) 88 + 8x = (40 + 10x) Solving 88 + 8x = 40 + 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 = 40 + 10x + -10x Combine like terms: 8x + -10x = -2x 88 + -2x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 88 + -2x = 40 + 0 88 + -2x = 40 Add '-88' to each side of the equation. 88 + -88 + -2x = 40 + -88 Combine like terms: 88 + -88 = 0 0 + -2x = 40 + -88 -2x = 40 + -88 Combine like terms: 40 + -88 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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