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Simplifying 5(x + -4) = -6(2x + -2) Reorder the terms: 5(-4 + x) = -6(2x + -2) (-4 * 5 + x * 5) = -6(2x + -2) (-20 + 5x) = -6(2x + -2) Reorder the terms: -20 + 5x = -6(-2 + 2x) -20 + 5x = (-2 * -6 + 2x * -6) -20 + 5x = (12 + -12x) Solving -20 + 5x = 12 + -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 + 5x + 12x = 12 + -12x + 12x Combine like terms: 5x + 12x = 17x -20 + 17x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + 17x = 12 + 0 -20 + 17x = 12 Add '20' to each side of the equation. -20 + 20 + 17x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 17x = 12 + 20 17x = 12 + 20 Combine like terms: 12 + 20 = 32 17x = 32 Divide each side by '17'. x = 1.882352941 Simplifying x = 1.882352941
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