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Simplifying 8x + -3(x + -1) = 6(x + 2) Reorder the terms: 8x + -3(-1 + x) = 6(x + 2) 8x + (-1 * -3 + x * -3) = 6(x + 2) 8x + (3 + -3x) = 6(x + 2) Reorder the terms: 3 + 8x + -3x = 6(x + 2) Combine like terms: 8x + -3x = 5x 3 + 5x = 6(x + 2) Reorder the terms: 3 + 5x = 6(2 + x) 3 + 5x = (2 * 6 + x * 6) 3 + 5x = (12 + 6x) Solving 3 + 5x = 12 + 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. 3 + 5x + -6x = 12 + 6x + -6x Combine like terms: 5x + -6x = -1x 3 + -1x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -1x = 12 + 0 3 + -1x = 12 Add '-3' to each side of the equation. 3 + -3 + -1x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 12 + -3 -1x = 12 + -3 Combine like terms: 12 + -3 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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