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Simplifying 2(5x + -12) = 3x + -59 Reorder the terms: 2(-12 + 5x) = 3x + -59 (-12 * 2 + 5x * 2) = 3x + -59 (-24 + 10x) = 3x + -59 Reorder the terms: -24 + 10x = -59 + 3x Solving -24 + 10x = -59 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 10x + -3x = -59 + 3x + -3x Combine like terms: 10x + -3x = 7x -24 + 7x = -59 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 7x = -59 + 0 -24 + 7x = -59 Add '24' to each side of the equation. -24 + 24 + 7x = -59 + 24 Combine like terms: -24 + 24 = 0 0 + 7x = -59 + 24 7x = -59 + 24 Combine like terms: -59 + 24 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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