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Simplifying 6(3x + -4) = 5(4x + -2) Reorder the terms: 6(-4 + 3x) = 5(4x + -2) (-4 * 6 + 3x * 6) = 5(4x + -2) (-24 + 18x) = 5(4x + -2) Reorder the terms: -24 + 18x = 5(-2 + 4x) -24 + 18x = (-2 * 5 + 4x * 5) -24 + 18x = (-10 + 20x) Solving -24 + 18x = -10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -24 + 18x + -20x = -10 + 20x + -20x Combine like terms: 18x + -20x = -2x -24 + -2x = -10 + 20x + -20x Combine like terms: 20x + -20x = 0 -24 + -2x = -10 + 0 -24 + -2x = -10 Add '24' to each side of the equation. -24 + 24 + -2x = -10 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = -10 + 24 -2x = -10 + 24 Combine like terms: -10 + 24 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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