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Simplifying 4[2 + -1x] = 5[x + -2] [2 * 4 + -1x * 4] = 5[x + -2] [8 + -4x] = 5[x + -2] Reorder the terms: 8 + -4x = 5[-2 + x] 8 + -4x = [-2 * 5 + x * 5] 8 + -4x = [-10 + 5x] Solving 8 + -4x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + -4x + -5x = -10 + 5x + -5x Combine like terms: -4x + -5x = -9x 8 + -9x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -9x = -10 + 0 8 + -9x = -10 Add '-8' to each side of the equation. 8 + -8 + -9x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -10 + -8 -9x = -10 + -8 Combine like terms: -10 + -8 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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