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Simplifying 5x + -1(2x + -9) = 6 + (x + 3) Reorder the terms: 5x + -1(-9 + 2x) = 6 + (x + 3) 5x + (-9 * -1 + 2x * -1) = 6 + (x + 3) 5x + (9 + -2x) = 6 + (x + 3) Reorder the terms: 9 + 5x + -2x = 6 + (x + 3) Combine like terms: 5x + -2x = 3x 9 + 3x = 6 + (x + 3) Reorder the terms: 9 + 3x = 6 + (3 + x) Remove parenthesis around (3 + x) 9 + 3x = 6 + 3 + x Combine like terms: 6 + 3 = 9 9 + 3x = 9 + x Add '-9' to each side of the equation. 9 + -9 + 3x = 9 + -9 + x Combine like terms: 9 + -9 = 0 0 + 3x = 9 + -9 + x 3x = 9 + -9 + x Combine like terms: 9 + -9 = 0 3x = 0 + x 3x = x Solving 3x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3x + -1x = x + -1x Combine like terms: 3x + -1x = 2x 2x = x + -1x Combine like terms: x + -1x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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