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Simplifying -2[x + -4] = 3[x + -24] Reorder the terms: -2[-4 + x] = 3[x + -24] [-4 * -2 + x * -2] = 3[x + -24] [8 + -2x] = 3[x + -24] Reorder the terms: 8 + -2x = 3[-24 + x] 8 + -2x = [-24 * 3 + x * 3] 8 + -2x = [-72 + 3x] Solving 8 + -2x = -72 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + -2x + -3x = -72 + 3x + -3x Combine like terms: -2x + -3x = -5x 8 + -5x = -72 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -5x = -72 + 0 8 + -5x = -72 Add '-8' to each side of the equation. 8 + -8 + -5x = -72 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = -72 + -8 -5x = -72 + -8 Combine like terms: -72 + -8 = -80 -5x = -80 Divide each side by '-5'. x = 16 Simplifying x = 16
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