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Simplifying -3(5 + -1x) + 8x = 8 + -1(3 + -6x) (5 * -3 + -1x * -3) + 8x = 8 + -1(3 + -6x) (-15 + 3x) + 8x = 8 + -1(3 + -6x) Combine like terms: 3x + 8x = 11x -15 + 11x = 8 + -1(3 + -6x) -15 + 11x = 8 + (3 * -1 + -6x * -1) -15 + 11x = 8 + (-3 + 6x) Combine like terms: 8 + -3 = 5 -15 + 11x = 5 + 6x Solving -15 + 11x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + 11x + -6x = 5 + 6x + -6x Combine like terms: 11x + -6x = 5x -15 + 5x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + 5x = 5 + 0 -15 + 5x = 5 Add '15' to each side of the equation. -15 + 15 + 5x = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 5x = 5 + 15 5x = 5 + 15 Combine like terms: 5 + 15 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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