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Simplifying -3(x + -2) + 8x = 6 + 5(1 + -1x) Reorder the terms: -3(-2 + x) + 8x = 6 + 5(1 + -1x) (-2 * -3 + x * -3) + 8x = 6 + 5(1 + -1x) (6 + -3x) + 8x = 6 + 5(1 + -1x) Combine like terms: -3x + 8x = 5x 6 + 5x = 6 + 5(1 + -1x) 6 + 5x = 6 + (1 * 5 + -1x * 5) 6 + 5x = 6 + (5 + -5x) Combine like terms: 6 + 5 = 11 6 + 5x = 11 + -5x Solving 6 + 5x = 11 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 5x + 5x = 11 + -5x + 5x Combine like terms: 5x + 5x = 10x 6 + 10x = 11 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 10x = 11 + 0 6 + 10x = 11 Add '-6' to each side of the equation. 6 + -6 + 10x = 11 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 11 + -6 10x = 11 + -6 Combine like terms: 11 + -6 = 5 10x = 5 Divide each side by '10'. x = 0.5 Simplifying x = 0.5
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