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Simplifying 6 + -6(2x + -3) = 15(5x + -1) + -3 Reorder the terms: 6 + -6(-3 + 2x) = 15(5x + -1) + -3 6 + (-3 * -6 + 2x * -6) = 15(5x + -1) + -3 6 + (18 + -12x) = 15(5x + -1) + -3 Combine like terms: 6 + 18 = 24 24 + -12x = 15(5x + -1) + -3 Reorder the terms: 24 + -12x = 15(-1 + 5x) + -3 24 + -12x = (-1 * 15 + 5x * 15) + -3 24 + -12x = (-15 + 75x) + -3 Reorder the terms: 24 + -12x = -15 + -3 + 75x Combine like terms: -15 + -3 = -18 24 + -12x = -18 + 75x Solving 24 + -12x = -18 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 24 + -12x + -75x = -18 + 75x + -75x Combine like terms: -12x + -75x = -87x 24 + -87x = -18 + 75x + -75x Combine like terms: 75x + -75x = 0 24 + -87x = -18 + 0 24 + -87x = -18 Add '-24' to each side of the equation. 24 + -24 + -87x = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -87x = -18 + -24 -87x = -18 + -24 Combine like terms: -18 + -24 = -42 -87x = -42 Divide each side by '-87'. x = 0.4827586207 Simplifying x = 0.4827586207
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