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Simplifying 3(2x + 5) = 6(3x + -4) Reorder the terms: 3(5 + 2x) = 6(3x + -4) (5 * 3 + 2x * 3) = 6(3x + -4) (15 + 6x) = 6(3x + -4) Reorder the terms: 15 + 6x = 6(-4 + 3x) 15 + 6x = (-4 * 6 + 3x * 6) 15 + 6x = (-24 + 18x) Solving 15 + 6x = -24 + 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. 15 + 6x + -18x = -24 + 18x + -18x Combine like terms: 6x + -18x = -12x 15 + -12x = -24 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -12x = -24 + 0 15 + -12x = -24 Add '-15' to each side of the equation. 15 + -15 + -12x = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -24 + -15 -12x = -24 + -15 Combine like terms: -24 + -15 = -39 -12x = -39 Divide each side by '-12'. x = 3.25 Simplifying x = 3.25
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