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Simplifying 5(x + 12) = 2(6x + 16) Reorder the terms: 5(12 + x) = 2(6x + 16) (12 * 5 + x * 5) = 2(6x + 16) (60 + 5x) = 2(6x + 16) Reorder the terms: 60 + 5x = 2(16 + 6x) 60 + 5x = (16 * 2 + 6x * 2) 60 + 5x = (32 + 12x) Solving 60 + 5x = 32 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 60 + 5x + -12x = 32 + 12x + -12x Combine like terms: 5x + -12x = -7x 60 + -7x = 32 + 12x + -12x Combine like terms: 12x + -12x = 0 60 + -7x = 32 + 0 60 + -7x = 32 Add '-60' to each side of the equation. 60 + -60 + -7x = 32 + -60 Combine like terms: 60 + -60 = 0 0 + -7x = 32 + -60 -7x = 32 + -60 Combine like terms: 32 + -60 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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