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Simplifying (3x + 5) + (2x + -3) + -1(4x + -6) = 0 Reorder the terms: (5 + 3x) + (2x + -3) + -1(4x + -6) = 0 Remove parenthesis around (5 + 3x) 5 + 3x + (2x + -3) + -1(4x + -6) = 0 Reorder the terms: 5 + 3x + (-3 + 2x) + -1(4x + -6) = 0 Remove parenthesis around (-3 + 2x) 5 + 3x + -3 + 2x + -1(4x + -6) = 0 Reorder the terms: 5 + 3x + -3 + 2x + -1(-6 + 4x) = 0 5 + 3x + -3 + 2x + (-6 * -1 + 4x * -1) = 0 5 + 3x + -3 + 2x + (6 + -4x) = 0 Reorder the terms: 5 + -3 + 6 + 3x + 2x + -4x = 0 Combine like terms: 5 + -3 = 2 2 + 6 + 3x + 2x + -4x = 0 Combine like terms: 2 + 6 = 8 8 + 3x + 2x + -4x = 0 Combine like terms: 3x + 2x = 5x 8 + 5x + -4x = 0 Combine like terms: 5x + -4x = 1x 8 + 1x = 0 Solving 8 + 1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 0 + -8 1x = 0 + -8 Combine like terms: 0 + -8 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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