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Simplifying 2(5x + -6) = 3(2x + -8) Reorder the terms: 2(-6 + 5x) = 3(2x + -8) (-6 * 2 + 5x * 2) = 3(2x + -8) (-12 + 10x) = 3(2x + -8) Reorder the terms: -12 + 10x = 3(-8 + 2x) -12 + 10x = (-8 * 3 + 2x * 3) -12 + 10x = (-24 + 6x) Solving -12 + 10x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 10x + -6x = -24 + 6x + -6x Combine like terms: 10x + -6x = 4x -12 + 4x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 4x = -24 + 0 -12 + 4x = -24 Add '12' to each side of the equation. -12 + 12 + 4x = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -24 + 12 4x = -24 + 12 Combine like terms: -24 + 12 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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