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Simplifying 12 + 5x = 6(x + 12) Reorder the terms: 12 + 5x = 6(12 + x) 12 + 5x = (12 * 6 + x * 6) 12 + 5x = (72 + 6x) Solving 12 + 5x = 72 + 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. 12 + 5x + -6x = 72 + 6x + -6x Combine like terms: 5x + -6x = -1x 12 + -1x = 72 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -1x = 72 + 0 12 + -1x = 72 Add '-12' to each side of the equation. 12 + -12 + -1x = 72 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 72 + -12 -1x = 72 + -12 Combine like terms: 72 + -12 = 60 -1x = 60 Divide each side by '-1'. x = -60 Simplifying x = -60
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