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Simplifying 4(6x + -6) = 6(3x + 1) Reorder the terms: 4(-6 + 6x) = 6(3x + 1) (-6 * 4 + 6x * 4) = 6(3x + 1) (-24 + 24x) = 6(3x + 1) Reorder the terms: -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 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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