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Simplifying 5(x + -4) + -6 = -2(x + -3) Reorder the terms: 5(-4 + x) + -6 = -2(x + -3) (-4 * 5 + x * 5) + -6 = -2(x + -3) (-20 + 5x) + -6 = -2(x + -3) Reorder the terms: -20 + -6 + 5x = -2(x + -3) Combine like terms: -20 + -6 = -26 -26 + 5x = -2(x + -3) Reorder the terms: -26 + 5x = -2(-3 + x) -26 + 5x = (-3 * -2 + x * -2) -26 + 5x = (6 + -2x) Solving -26 + 5x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -26 + 5x + 2x = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x -26 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -26 + 7x = 6 + 0 -26 + 7x = 6 Add '26' to each side of the equation. -26 + 26 + 7x = 6 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 6 + 26 7x = 6 + 26 Combine like terms: 6 + 26 = 32 7x = 32 Divide each side by '7'. x = 4.571428571 Simplifying x = 4.571428571
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