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Simplifying 6(3x + -4) + -4x = 5(2x + -4) + 8 Reorder the terms: 6(-4 + 3x) + -4x = 5(2x + -4) + 8 (-4 * 6 + 3x * 6) + -4x = 5(2x + -4) + 8 (-24 + 18x) + -4x = 5(2x + -4) + 8 Combine like terms: 18x + -4x = 14x -24 + 14x = 5(2x + -4) + 8 Reorder the terms: -24 + 14x = 5(-4 + 2x) + 8 -24 + 14x = (-4 * 5 + 2x * 5) + 8 -24 + 14x = (-20 + 10x) + 8 Reorder the terms: -24 + 14x = -20 + 8 + 10x Combine like terms: -20 + 8 = -12 -24 + 14x = -12 + 10x Solving -24 + 14x = -12 + 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 + 14x + -10x = -12 + 10x + -10x Combine like terms: 14x + -10x = 4x -24 + 4x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 -24 + 4x = -12 + 0 -24 + 4x = -12 Add '24' to each side of the equation. -24 + 24 + 4x = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -12 + 24 4x = -12 + 24 Combine like terms: -12 + 24 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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