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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 + 5x = 6 + -2(3 + x) -20 + 5x = 6 + (3 * -2 + x * -2) -20 + 5x = 6 + (-6 + -2x) Combine like terms: 6 + -6 = 0 -20 + 5x = 0 + -2x -20 + 5x = -2x Solving -20 + 5x = -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. -20 + 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x -20 + 7x = -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 7x = 0 Add '20' to each side of the equation. -20 + 20 + 7x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = 0 + 20 7x = 0 + 20 Combine like terms: 0 + 20 = 20 7x = 20 Divide each side by '7'. x = 2.857142857 Simplifying x = 2.857142857
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