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Simplifying -3(6 + -1x) + 8 = 8 + -5(x + 2) (6 * -3 + -1x * -3) + 8 = 8 + -5(x + 2) (-18 + 3x) + 8 = 8 + -5(x + 2) Reorder the terms: -18 + 8 + 3x = 8 + -5(x + 2) Combine like terms: -18 + 8 = -10 -10 + 3x = 8 + -5(x + 2) Reorder the terms: -10 + 3x = 8 + -5(2 + x) -10 + 3x = 8 + (2 * -5 + x * -5) -10 + 3x = 8 + (-10 + -5x) Combine like terms: 8 + -10 = -2 -10 + 3x = -2 + -5x Solving -10 + 3x = -2 + -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. -10 + 3x + 5x = -2 + -5x + 5x Combine like terms: 3x + 5x = 8x -10 + 8x = -2 + -5x + 5x Combine like terms: -5x + 5x = 0 -10 + 8x = -2 + 0 -10 + 8x = -2 Add '10' to each side of the equation. -10 + 10 + 8x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = -2 + 10 8x = -2 + 10 Combine like terms: -2 + 10 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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