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Simplifying 3[x + 12] = 5[x + 4] Reorder the terms: 3[12 + x] = 5[x + 4] [12 * 3 + x * 3] = 5[x + 4] [36 + 3x] = 5[x + 4] Reorder the terms: 36 + 3x = 5[4 + x] 36 + 3x = [4 * 5 + x * 5] 36 + 3x = [20 + 5x] Solving 36 + 3x = 20 + 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. 36 + 3x + -5x = 20 + 5x + -5x Combine like terms: 3x + -5x = -2x 36 + -2x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + -2x = 20 + 0 36 + -2x = 20 Add '-36' to each side of the equation. 36 + -36 + -2x = 20 + -36 Combine like terms: 36 + -36 = 0 0 + -2x = 20 + -36 -2x = 20 + -36 Combine like terms: 20 + -36 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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