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Simplifying 3(-4x + 5) = -6(3x + -5) Reorder the terms: 3(5 + -4x) = -6(3x + -5) (5 * 3 + -4x * 3) = -6(3x + -5) (15 + -12x) = -6(3x + -5) Reorder the terms: 15 + -12x = -6(-5 + 3x) 15 + -12x = (-5 * -6 + 3x * -6) 15 + -12x = (30 + -18x) Solving 15 + -12x = 30 + -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 + -12x + 18x = 30 + -18x + 18x Combine like terms: -12x + 18x = 6x 15 + 6x = 30 + -18x + 18x Combine like terms: -18x + 18x = 0 15 + 6x = 30 + 0 15 + 6x = 30 Add '-15' to each side of the equation. 15 + -15 + 6x = 30 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 30 + -15 6x = 30 + -15 Combine like terms: 30 + -15 = 15 6x = 15 Divide each side by '6'. x = 2.5 Simplifying x = 2.5
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