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Simplifying 2(5x + -12) = 6(-2x + 3) + 2 Reorder the terms: 2(-12 + 5x) = 6(-2x + 3) + 2 (-12 * 2 + 5x * 2) = 6(-2x + 3) + 2 (-24 + 10x) = 6(-2x + 3) + 2 Reorder the terms: -24 + 10x = 6(3 + -2x) + 2 -24 + 10x = (3 * 6 + -2x * 6) + 2 -24 + 10x = (18 + -12x) + 2 Reorder the terms: -24 + 10x = 18 + 2 + -12x Combine like terms: 18 + 2 = 20 -24 + 10x = 20 + -12x Solving -24 + 10x = 20 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -24 + 10x + 12x = 20 + -12x + 12x Combine like terms: 10x + 12x = 22x -24 + 22x = 20 + -12x + 12x Combine like terms: -12x + 12x = 0 -24 + 22x = 20 + 0 -24 + 22x = 20 Add '24' to each side of the equation. -24 + 24 + 22x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + 22x = 20 + 24 22x = 20 + 24 Combine like terms: 20 + 24 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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