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Simplifying 3(5x + -8) = -2(x + 7) + -12x Reorder the terms: 3(-8 + 5x) = -2(x + 7) + -12x (-8 * 3 + 5x * 3) = -2(x + 7) + -12x (-24 + 15x) = -2(x + 7) + -12x Reorder the terms: -24 + 15x = -2(7 + x) + -12x -24 + 15x = (7 * -2 + x * -2) + -12x -24 + 15x = (-14 + -2x) + -12x Combine like terms: -2x + -12x = -14x -24 + 15x = -14 + -14x Solving -24 + 15x = -14 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -24 + 15x + 14x = -14 + -14x + 14x Combine like terms: 15x + 14x = 29x -24 + 29x = -14 + -14x + 14x Combine like terms: -14x + 14x = 0 -24 + 29x = -14 + 0 -24 + 29x = -14 Add '24' to each side of the equation. -24 + 24 + 29x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + 29x = -14 + 24 29x = -14 + 24 Combine like terms: -14 + 24 = 10 29x = 10 Divide each side by '29'. x = 0.3448275862 Simplifying x = 0.3448275862
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