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Simplifying 2(3x + -3) + 5(x + -4) = 4(x + 2) Reorder the terms: 2(-3 + 3x) + 5(x + -4) = 4(x + 2) (-3 * 2 + 3x * 2) + 5(x + -4) = 4(x + 2) (-6 + 6x) + 5(x + -4) = 4(x + 2) Reorder the terms: -6 + 6x + 5(-4 + x) = 4(x + 2) -6 + 6x + (-4 * 5 + x * 5) = 4(x + 2) -6 + 6x + (-20 + 5x) = 4(x + 2) Reorder the terms: -6 + -20 + 6x + 5x = 4(x + 2) Combine like terms: -6 + -20 = -26 -26 + 6x + 5x = 4(x + 2) Combine like terms: 6x + 5x = 11x -26 + 11x = 4(x + 2) Reorder the terms: -26 + 11x = 4(2 + x) -26 + 11x = (2 * 4 + x * 4) -26 + 11x = (8 + 4x) Solving -26 + 11x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -26 + 11x + -4x = 8 + 4x + -4x Combine like terms: 11x + -4x = 7x -26 + 7x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -26 + 7x = 8 + 0 -26 + 7x = 8 Add '26' to each side of the equation. -26 + 26 + 7x = 8 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 8 + 26 7x = 8 + 26 Combine like terms: 8 + 26 = 34 7x = 34 Divide each side by '7'. x = 4.857142857 Simplifying x = 4.857142857
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