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Simplifying 5(2x + -4) = 4(3x + -2) Reorder the terms: 5(-4 + 2x) = 4(3x + -2) (-4 * 5 + 2x * 5) = 4(3x + -2) (-20 + 10x) = 4(3x + -2) Reorder the terms: -20 + 10x = 4(-2 + 3x) -20 + 10x = (-2 * 4 + 3x * 4) -20 + 10x = (-8 + 12x) Solving -20 + 10x = -8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -20 + 10x + -12x = -8 + 12x + -12x Combine like terms: 10x + -12x = -2x -20 + -2x = -8 + 12x + -12x Combine like terms: 12x + -12x = 0 -20 + -2x = -8 + 0 -20 + -2x = -8 Add '20' to each side of the equation. -20 + 20 + -2x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -8 + 20 -2x = -8 + 20 Combine like terms: -8 + 20 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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