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Simplifying 2(5x + -12) = 3(8x + 6) Reorder the terms: 2(-12 + 5x) = 3(8x + 6) (-12 * 2 + 5x * 2) = 3(8x + 6) (-24 + 10x) = 3(8x + 6) Reorder the terms: -24 + 10x = 3(6 + 8x) -24 + 10x = (6 * 3 + 8x * 3) -24 + 10x = (18 + 24x) Solving -24 + 10x = 18 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -24 + 10x + -24x = 18 + 24x + -24x Combine like terms: 10x + -24x = -14x -24 + -14x = 18 + 24x + -24x Combine like terms: 24x + -24x = 0 -24 + -14x = 18 + 0 -24 + -14x = 18 Add '24' to each side of the equation. -24 + 24 + -14x = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -14x = 18 + 24 -14x = 18 + 24 Combine like terms: 18 + 24 = 42 -14x = 42 Divide each side by '-14'. x = -3 Simplifying x = -3
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