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Simplifying -2(x + -4) + 3(x + 1) = -6 Reorder the terms: -2(-4 + x) + 3(x + 1) = -6 (-4 * -2 + x * -2) + 3(x + 1) = -6 (8 + -2x) + 3(x + 1) = -6 Reorder the terms: 8 + -2x + 3(1 + x) = -6 8 + -2x + (1 * 3 + x * 3) = -6 8 + -2x + (3 + 3x) = -6 Reorder the terms: 8 + 3 + -2x + 3x = -6 Combine like terms: 8 + 3 = 11 11 + -2x + 3x = -6 Combine like terms: -2x + 3x = 1x 11 + 1x = -6 Solving 11 + 1x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1x = -6 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = -6 + -11 1x = -6 + -11 Combine like terms: -6 + -11 = -17 1x = -17 Divide each side by '1'. x = -17 Simplifying x = -17
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