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Simplifying 3(2x + 5) = 6(-1x + 2) Reorder the terms: 3(5 + 2x) = 6(-1x + 2) (5 * 3 + 2x * 3) = 6(-1x + 2) (15 + 6x) = 6(-1x + 2) Reorder the terms: 15 + 6x = 6(2 + -1x) 15 + 6x = (2 * 6 + -1x * 6) 15 + 6x = (12 + -6x) Solving 15 + 6x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 15 + 6x + 6x = 12 + -6x + 6x Combine like terms: 6x + 6x = 12x 15 + 12x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 15 + 12x = 12 + 0 15 + 12x = 12 Add '-15' to each side of the equation. 15 + -15 + 12x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 12x = 12 + -15 12x = 12 + -15 Combine like terms: 12 + -15 = -3 12x = -3 Divide each side by '12'. x = -0.25 Simplifying x = -0.25
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