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Simplifying (6x + 3) + -1(2x + -2) + (3 + -5x) = 0 Reorder the terms: (3 + 6x) + -1(2x + -2) + (3 + -5x) = 0 Remove parenthesis around (3 + 6x) 3 + 6x + -1(2x + -2) + (3 + -5x) = 0 Reorder the terms: 3 + 6x + -1(-2 + 2x) + (3 + -5x) = 0 3 + 6x + (-2 * -1 + 2x * -1) + (3 + -5x) = 0 3 + 6x + (2 + -2x) + (3 + -5x) = 0 Remove parenthesis around (3 + -5x) 3 + 6x + 2 + -2x + 3 + -5x = 0 Reorder the terms: 3 + 2 + 3 + 6x + -2x + -5x = 0 Combine like terms: 3 + 2 = 5 5 + 3 + 6x + -2x + -5x = 0 Combine like terms: 5 + 3 = 8 8 + 6x + -2x + -5x = 0 Combine like terms: 6x + -2x = 4x 8 + 4x + -5x = 0 Combine like terms: 4x + -5x = -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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