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Simplifying 2(x + 4) + -3(2x + -6) = 4(x + -1) + -5(3x + -2) Reorder the terms: 2(4 + x) + -3(2x + -6) = 4(x + -1) + -5(3x + -2) (4 * 2 + x * 2) + -3(2x + -6) = 4(x + -1) + -5(3x + -2) (8 + 2x) + -3(2x + -6) = 4(x + -1) + -5(3x + -2) Reorder the terms: 8 + 2x + -3(-6 + 2x) = 4(x + -1) + -5(3x + -2) 8 + 2x + (-6 * -3 + 2x * -3) = 4(x + -1) + -5(3x + -2) 8 + 2x + (18 + -6x) = 4(x + -1) + -5(3x + -2) Reorder the terms: 8 + 18 + 2x + -6x = 4(x + -1) + -5(3x + -2) Combine like terms: 8 + 18 = 26 26 + 2x + -6x = 4(x + -1) + -5(3x + -2) Combine like terms: 2x + -6x = -4x 26 + -4x = 4(x + -1) + -5(3x + -2) Reorder the terms: 26 + -4x = 4(-1 + x) + -5(3x + -2) 26 + -4x = (-1 * 4 + x * 4) + -5(3x + -2) 26 + -4x = (-4 + 4x) + -5(3x + -2) Reorder the terms: 26 + -4x = -4 + 4x + -5(-2 + 3x) 26 + -4x = -4 + 4x + (-2 * -5 + 3x * -5) 26 + -4x = -4 + 4x + (10 + -15x) Reorder the terms: 26 + -4x = -4 + 10 + 4x + -15x Combine like terms: -4 + 10 = 6 26 + -4x = 6 + 4x + -15x Combine like terms: 4x + -15x = -11x 26 + -4x = 6 + -11x Solving 26 + -4x = 6 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 26 + -4x + 11x = 6 + -11x + 11x Combine like terms: -4x + 11x = 7x 26 + 7x = 6 + -11x + 11x Combine like terms: -11x + 11x = 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 = -20 7x = -20 Divide each side by '7'. x = -2.857142857 Simplifying x = -2.857142857
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