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Simplifying 6(3x + 4) = 2(4x + -12) Reorder the terms: 6(4 + 3x) = 2(4x + -12) (4 * 6 + 3x * 6) = 2(4x + -12) (24 + 18x) = 2(4x + -12) Reorder the terms: 24 + 18x = 2(-12 + 4x) 24 + 18x = (-12 * 2 + 4x * 2) 24 + 18x = (-24 + 8x) Solving 24 + 18x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + 18x + -8x = -24 + 8x + -8x Combine like terms: 18x + -8x = 10x 24 + 10x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 10x = -24 + 0 24 + 10x = -24 Add '-24' to each side of the equation. 24 + -24 + 10x = -24 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = -24 + -24 10x = -24 + -24 Combine like terms: -24 + -24 = -48 10x = -48 Divide each side by '10'. x = -4.8 Simplifying x = -4.8
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