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Simplifying 6(x + 9) = 24(x + 3) Reorder the terms: 6(9 + x) = 24(x + 3) (9 * 6 + x * 6) = 24(x + 3) (54 + 6x) = 24(x + 3) Reorder the terms: 54 + 6x = 24(3 + x) 54 + 6x = (3 * 24 + x * 24) 54 + 6x = (72 + 24x) Solving 54 + 6x = 72 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 54 + 6x + -24x = 72 + 24x + -24x Combine like terms: 6x + -24x = -18x 54 + -18x = 72 + 24x + -24x Combine like terms: 24x + -24x = 0 54 + -18x = 72 + 0 54 + -18x = 72 Add '-54' to each side of the equation. 54 + -54 + -18x = 72 + -54 Combine like terms: 54 + -54 = 0 0 + -18x = 72 + -54 -18x = 72 + -54 Combine like terms: 72 + -54 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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