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Simplifying 6(x + 12) = 15x Reorder the terms: 6(12 + x) = 15x (12 * 6 + x * 6) = 15x (72 + 6x) = 15x Solving 72 + 6x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 72 + 6x + -15x = 15x + -15x Combine like terms: 6x + -15x = -9x 72 + -9x = 15x + -15x Combine like terms: 15x + -15x = 0 72 + -9x = 0 Add '-72' to each side of the equation. 72 + -72 + -9x = 0 + -72 Combine like terms: 72 + -72 = 0 0 + -9x = 0 + -72 -9x = 0 + -72 Combine like terms: 0 + -72 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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