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Simplifying -8 + -6(x + -2) = -8x + 3(x + -9) Reorder the terms: -8 + -6(-2 + x) = -8x + 3(x + -9) -8 + (-2 * -6 + x * -6) = -8x + 3(x + -9) -8 + (12 + -6x) = -8x + 3(x + -9) Combine like terms: -8 + 12 = 4 4 + -6x = -8x + 3(x + -9) Reorder the terms: 4 + -6x = -8x + 3(-9 + x) 4 + -6x = -8x + (-9 * 3 + x * 3) 4 + -6x = -8x + (-27 + 3x) Reorder the terms: 4 + -6x = -27 + -8x + 3x Combine like terms: -8x + 3x = -5x 4 + -6x = -27 + -5x Solving 4 + -6x = -27 + -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. 4 + -6x + 5x = -27 + -5x + 5x Combine like terms: -6x + 5x = -1x 4 + -1x = -27 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + -1x = -27 + 0 4 + -1x = -27 Add '-4' to each side of the equation. 4 + -4 + -1x = -27 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -27 + -4 -1x = -27 + -4 Combine like terms: -27 + -4 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31
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