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Simplifying 2(x + -4) + -1(6 + x) = 3x + -4 Reorder the terms: 2(-4 + x) + -1(6 + x) = 3x + -4 (-4 * 2 + x * 2) + -1(6 + x) = 3x + -4 (-8 + 2x) + -1(6 + x) = 3x + -4 -8 + 2x + (6 * -1 + x * -1) = 3x + -4 -8 + 2x + (-6 + -1x) = 3x + -4 Reorder the terms: -8 + -6 + 2x + -1x = 3x + -4 Combine like terms: -8 + -6 = -14 -14 + 2x + -1x = 3x + -4 Combine like terms: 2x + -1x = 1x -14 + 1x = 3x + -4 Reorder the terms: -14 + 1x = -4 + 3x Solving -14 + 1x = -4 + 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. -14 + 1x + -3x = -4 + 3x + -3x Combine like terms: 1x + -3x = -2x -14 + -2x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 -14 + -2x = -4 + 0 -14 + -2x = -4 Add '14' to each side of the equation. -14 + 14 + -2x = -4 + 14 Combine like terms: -14 + 14 = 0 0 + -2x = -4 + 14 -2x = -4 + 14 Combine like terms: -4 + 14 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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