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Simplifying x + 8 + -2(x + -1) = 3x + -6 Reorder the terms: x + 8 + -2(-1 + x) = 3x + -6 x + 8 + (-1 * -2 + x * -2) = 3x + -6 x + 8 + (2 + -2x) = 3x + -6 Reorder the terms: 8 + 2 + x + -2x = 3x + -6 Combine like terms: 8 + 2 = 10 10 + x + -2x = 3x + -6 Combine like terms: x + -2x = -1x 10 + -1x = 3x + -6 Reorder the terms: 10 + -1x = -6 + 3x Solving 10 + -1x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + -1x + -3x = -6 + 3x + -3x Combine like terms: -1x + -3x = -4x 10 + -4x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -4x = -6 + 0 10 + -4x = -6 Add '-10' to each side of the equation. 10 + -10 + -4x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -6 + -10 -4x = -6 + -10 Combine like terms: -6 + -10 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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