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Simplifying 6(4x + 4) = 6(1 + 3x) Reorder the terms: 6(4 + 4x) = 6(1 + 3x) (4 * 6 + 4x * 6) = 6(1 + 3x) (24 + 24x) = 6(1 + 3x) 24 + 24x = (1 * 6 + 3x * 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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