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Simplifying 2(3x + -6) = 4(12 + -1x) Reorder the terms: 2(-6 + 3x) = 4(12 + -1x) (-6 * 2 + 3x * 2) = 4(12 + -1x) (-12 + 6x) = 4(12 + -1x) -12 + 6x = (12 * 4 + -1x * 4) -12 + 6x = (48 + -4x) Solving -12 + 6x = 48 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -12 + 6x + 4x = 48 + -4x + 4x Combine like terms: 6x + 4x = 10x -12 + 10x = 48 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 10x = 48 + 0 -12 + 10x = 48 Add '12' to each side of the equation. -12 + 12 + 10x = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 48 + 12 10x = 48 + 12 Combine like terms: 48 + 12 = 60 10x = 60 Divide each side by '10'. x = 6 Simplifying x = 6
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