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Simplifying 5(x + 2) = 8(11 + -1x) Reorder the terms: 5(2 + x) = 8(11 + -1x) (2 * 5 + x * 5) = 8(11 + -1x) (10 + 5x) = 8(11 + -1x) 10 + 5x = (11 * 8 + -1x * 8) 10 + 5x = (88 + -8x) Solving 10 + 5x = 88 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 10 + 5x + 8x = 88 + -8x + 8x Combine like terms: 5x + 8x = 13x 10 + 13x = 88 + -8x + 8x Combine like terms: -8x + 8x = 0 10 + 13x = 88 + 0 10 + 13x = 88 Add '-10' to each side of the equation. 10 + -10 + 13x = 88 + -10 Combine like terms: 10 + -10 = 0 0 + 13x = 88 + -10 13x = 88 + -10 Combine like terms: 88 + -10 = 78 13x = 78 Divide each side by '13'. x = 6 Simplifying x = 6
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