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