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Simplifying 3(5x + -8) = -2(-1x + 7) + -12 Reorder the terms: 3(-8 + 5x) = -2(-1x + 7) + -12 (-8 * 3 + 5x * 3) = -2(-1x + 7) + -12 (-24 + 15x) = -2(-1x + 7) + -12 Reorder the terms: -24 + 15x = -2(7 + -1x) + -12 -24 + 15x = (7 * -2 + -1x * -2) + -12 -24 + 15x = (-14 + 2x) + -12 Reorder the terms: -24 + 15x = -14 + -12 + 2x Combine like terms: -14 + -12 = -26 -24 + 15x = -26 + 2x Solving -24 + 15x = -26 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 15x + -2x = -26 + 2x + -2x Combine like terms: 15x + -2x = 13x -24 + 13x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 13x = -26 + 0 -24 + 13x = -26 Add '24' to each side of the equation. -24 + 24 + 13x = -26 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = -26 + 24 13x = -26 + 24 Combine like terms: -26 + 24 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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