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Simplifying 6(3x + -4) = 2(4x + 7) Reorder the terms: 6(-4 + 3x) = 2(4x + 7) (-4 * 6 + 3x * 6) = 2(4x + 7) (-24 + 18x) = 2(4x + 7) Reorder the terms: -24 + 18x = 2(7 + 4x) -24 + 18x = (7 * 2 + 4x * 2) -24 + 18x = (14 + 8x) Solving -24 + 18x = 14 + 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 = 14 + 8x + -8x Combine like terms: 18x + -8x = 10x -24 + 10x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 10x = 14 + 0 -24 + 10x = 14 Add '24' to each side of the equation. -24 + 24 + 10x = 14 + 24 Combine like terms: -24 + 24 = 0 0 + 10x = 14 + 24 10x = 14 + 24 Combine like terms: 14 + 24 = 38 10x = 38 Divide each side by '10'. x = 3.8 Simplifying x = 3.8
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