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Simplifying -2(3x + 4) + (6x + 8) = 4(5x + -2) + -1(5x + 8) Reorder the terms: -2(4 + 3x) + (6x + 8) = 4(5x + -2) + -1(5x + 8) (4 * -2 + 3x * -2) + (6x + 8) = 4(5x + -2) + -1(5x + 8) (-8 + -6x) + (6x + 8) = 4(5x + -2) + -1(5x + 8) Reorder the terms: -8 + -6x + (8 + 6x) = 4(5x + -2) + -1(5x + 8) Remove parenthesis around (8 + 6x) -8 + -6x + 8 + 6x = 4(5x + -2) + -1(5x + 8) Reorder the terms: -8 + 8 + -6x + 6x = 4(5x + -2) + -1(5x + 8) Combine like terms: -8 + 8 = 0 0 + -6x + 6x = 4(5x + -2) + -1(5x + 8) -6x + 6x = 4(5x + -2) + -1(5x + 8) Combine like terms: -6x + 6x = 0 0 = 4(5x + -2) + -1(5x + 8) Reorder the terms: 0 = 4(-2 + 5x) + -1(5x + 8) 0 = (-2 * 4 + 5x * 4) + -1(5x + 8) 0 = (-8 + 20x) + -1(5x + 8) Reorder the terms: 0 = -8 + 20x + -1(8 + 5x) 0 = -8 + 20x + (8 * -1 + 5x * -1) 0 = -8 + 20x + (-8 + -5x) Reorder the terms: 0 = -8 + -8 + 20x + -5x Combine like terms: -8 + -8 = -16 0 = -16 + 20x + -5x Combine like terms: 20x + -5x = 15x 0 = -16 + 15x Solving 0 = -16 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 0 + -15x = -16 + 15x + -15x Remove the zero: -15x = -16 + 15x + -15x Combine like terms: 15x + -15x = 0 -15x = -16 + 0 -15x = -16 Divide each side by '-15'. x = 1.066666667 Simplifying x = 1.066666667
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