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Simplifying 3(x + 8) = 2[x + -1(5 + -1x)] Reorder the terms: 3(8 + x) = 2[x + -1(5 + -1x)] (8 * 3 + x * 3) = 2[x + -1(5 + -1x)] (24 + 3x) = 2[x + -1(5 + -1x)] 24 + 3x = 2[x + (5 * -1 + -1x * -1)] 24 + 3x = 2[x + (-5 + 1x)] Reorder the terms: 24 + 3x = 2[-5 + x + 1x] Combine like terms: x + 1x = 2x 24 + 3x = 2[-5 + 2x] 24 + 3x = [-5 * 2 + 2x * 2] 24 + 3x = [-10 + 4x] Solving 24 + 3x = -10 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 3x + -4x = -10 + 4x + -4x Combine like terms: 3x + -4x = -1x 24 + -1x = -10 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -1x = -10 + 0 24 + -1x = -10 Add '-24' to each side of the equation. 24 + -24 + -1x = -10 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = -10 + -24 -1x = -10 + -24 Combine like terms: -10 + -24 = -34 -1x = -34 Divide each side by '-1'. x = 34 Simplifying x = 34
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