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Simplifying 6(2x + 15) = 2(5x + -3) Reorder the terms: 6(15 + 2x) = 2(5x + -3) (15 * 6 + 2x * 6) = 2(5x + -3) (90 + 12x) = 2(5x + -3) Reorder the terms: 90 + 12x = 2(-3 + 5x) 90 + 12x = (-3 * 2 + 5x * 2) 90 + 12x = (-6 + 10x) Solving 90 + 12x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 90 + 12x + -10x = -6 + 10x + -10x Combine like terms: 12x + -10x = 2x 90 + 2x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 90 + 2x = -6 + 0 90 + 2x = -6 Add '-90' to each side of the equation. 90 + -90 + 2x = -6 + -90 Combine like terms: 90 + -90 = 0 0 + 2x = -6 + -90 2x = -6 + -90 Combine like terms: -6 + -90 = -96 2x = -96 Divide each side by '2'. x = -48 Simplifying x = -48
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