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Simplifying 6(3x + 4) = 8x + -10 + -2 Reorder the terms: 6(4 + 3x) = 8x + -10 + -2 (4 * 6 + 3x * 6) = 8x + -10 + -2 (24 + 18x) = 8x + -10 + -2 Reorder the terms: 24 + 18x = -10 + -2 + 8x Combine like terms: -10 + -2 = -12 24 + 18x = -12 + 8x Solving 24 + 18x = -12 + 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 = -12 + 8x + -8x Combine like terms: 18x + -8x = 10x 24 + 10x = -12 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 10x = -12 + 0 24 + 10x = -12 Add '-24' to each side of the equation. 24 + -24 + 10x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 10x = -12 + -24 10x = -12 + -24 Combine like terms: -12 + -24 = -36 10x = -36 Divide each side by '10'. x = -3.6 Simplifying x = -3.6
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