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Simplifying 4(6 + -6x) = 9 + -3(6x + 1) (6 * 4 + -6x * 4) = 9 + -3(6x + 1) (24 + -24x) = 9 + -3(6x + 1) Reorder the terms: 24 + -24x = 9 + -3(1 + 6x) 24 + -24x = 9 + (1 * -3 + 6x * -3) 24 + -24x = 9 + (-3 + -18x) Combine like terms: 9 + -3 = 6 24 + -24x = 6 + -18x Solving 24 + -24x = 6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 24 + -24x + 18x = 6 + -18x + 18x Combine like terms: -24x + 18x = -6x 24 + -6x = 6 + -18x + 18x Combine like terms: -18x + 18x = 0 24 + -6x = 6 + 0 24 + -6x = 6 Add '-24' to each side of the equation. 24 + -24 + -6x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -6x = 6 + -24 -6x = 6 + -24 Combine like terms: 6 + -24 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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