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Simplifying 2[x + 5] = 2[3x + 12] Reorder the terms: 2[5 + x] = 2[3x + 12] [5 * 2 + x * 2] = 2[3x + 12] [10 + 2x] = 2[3x + 12] Reorder the terms: 10 + 2x = 2[12 + 3x] 10 + 2x = [12 * 2 + 3x * 2] 10 + 2x = [24 + 6x] Solving 10 + 2x = 24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10 + 2x + -6x = 24 + 6x + -6x Combine like terms: 2x + -6x = -4x 10 + -4x = 24 + 6x + -6x Combine like terms: 6x + -6x = 0 10 + -4x = 24 + 0 10 + -4x = 24 Add '-10' to each side of the equation. 10 + -10 + -4x = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = 24 + -10 -4x = 24 + -10 Combine like terms: 24 + -10 = 14 -4x = 14 Divide each side by '-4'. x = -3.5 Simplifying x = -3.5
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