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Simplifying 6(-5x + 12) = 54 + -28x Reorder the terms: 6(12 + -5x) = 54 + -28x (12 * 6 + -5x * 6) = 54 + -28x (72 + -30x) = 54 + -28x Solving 72 + -30x = 54 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 72 + -30x + 28x = 54 + -28x + 28x Combine like terms: -30x + 28x = -2x 72 + -2x = 54 + -28x + 28x Combine like terms: -28x + 28x = 0 72 + -2x = 54 + 0 72 + -2x = 54 Add '-72' to each side of the equation. 72 + -72 + -2x = 54 + -72 Combine like terms: 72 + -72 = 0 0 + -2x = 54 + -72 -2x = 54 + -72 Combine like terms: 54 + -72 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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