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Simplifying -3(x + 1) + 2(x + -4) = 0 Reorder the terms: -3(1 + x) + 2(x + -4) = 0 (1 * -3 + x * -3) + 2(x + -4) = 0 (-3 + -3x) + 2(x + -4) = 0 Reorder the terms: -3 + -3x + 2(-4 + x) = 0 -3 + -3x + (-4 * 2 + x * 2) = 0 -3 + -3x + (-8 + 2x) = 0 Reorder the terms: -3 + -8 + -3x + 2x = 0 Combine like terms: -3 + -8 = -11 -11 + -3x + 2x = 0 Combine like terms: -3x + 2x = -1x -11 + -1x = 0 Solving -11 + -1x = 0 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 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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