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Simplifying 3[x + -2] = 4[2x + -5] Reorder the terms: 3[-2 + x] = 4[2x + -5] [-2 * 3 + x * 3] = 4[2x + -5] [-6 + 3x] = 4[2x + -5] Reorder the terms: -6 + 3x = 4[-5 + 2x] -6 + 3x = [-5 * 4 + 2x * 4] -6 + 3x = [-20 + 8x] Solving -6 + 3x = -20 + 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. -6 + 3x + -8x = -20 + 8x + -8x Combine like terms: 3x + -8x = -5x -6 + -5x = -20 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -5x = -20 + 0 -6 + -5x = -20 Add '6' to each side of the equation. -6 + 6 + -5x = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -20 + 6 -5x = -20 + 6 Combine like terms: -20 + 6 = -14 -5x = -14 Divide each side by '-5'. x = 2.8 Simplifying x = 2.8
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