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Simplifying 36 + -1(2x + 5) = 2(x + 8) + 8 Reorder the terms: 36 + -1(5 + 2x) = 2(x + 8) + 8 36 + (5 * -1 + 2x * -1) = 2(x + 8) + 8 36 + (-5 + -2x) = 2(x + 8) + 8 Combine like terms: 36 + -5 = 31 31 + -2x = 2(x + 8) + 8 Reorder the terms: 31 + -2x = 2(8 + x) + 8 31 + -2x = (8 * 2 + x * 2) + 8 31 + -2x = (16 + 2x) + 8 Reorder the terms: 31 + -2x = 16 + 8 + 2x Combine like terms: 16 + 8 = 24 31 + -2x = 24 + 2x Solving 31 + -2x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 31 + -2x + -2x = 24 + 2x + -2x Combine like terms: -2x + -2x = -4x 31 + -4x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -4x = 24 + 0 31 + -4x = 24 Add '-31' to each side of the equation. 31 + -31 + -4x = 24 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = 24 + -31 -4x = 24 + -31 Combine like terms: 24 + -31 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75
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