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Simplifying 6(3x + 4) = 2(5x + -4) Reorder the terms: 6(4 + 3x) = 2(5x + -4) (4 * 6 + 3x * 6) = 2(5x + -4) (24 + 18x) = 2(5x + -4) Reorder the terms: 24 + 18x = 2(-4 + 5x) 24 + 18x = (-4 * 2 + 5x * 2) 24 + 18x = (-8 + 10x) Solving 24 + 18x = -8 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 18x + -10x = -8 + 10x + -10x Combine like terms: 18x + -10x = 8x 24 + 8x = -8 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 8x = -8 + 0 24 + 8x = -8 Add '-24' to each side of the equation. 24 + -24 + 8x = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = -8 + -24 8x = -8 + -24 Combine like terms: -8 + -24 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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