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Simplifying -3x + 20 = 9x + 2(x + 3) Reorder the terms: 20 + -3x = 9x + 2(x + 3) Reorder the terms: 20 + -3x = 9x + 2(3 + x) 20 + -3x = 9x + (3 * 2 + x * 2) 20 + -3x = 9x + (6 + 2x) Reorder the terms: 20 + -3x = 6 + 9x + 2x Combine like terms: 9x + 2x = 11x 20 + -3x = 6 + 11x Solving 20 + -3x = 6 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 20 + -3x + -11x = 6 + 11x + -11x Combine like terms: -3x + -11x = -14x 20 + -14x = 6 + 11x + -11x Combine like terms: 11x + -11x = 0 20 + -14x = 6 + 0 20 + -14x = 6 Add '-20' to each side of the equation. 20 + -20 + -14x = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -14x = 6 + -20 -14x = 6 + -20 Combine like terms: 6 + -20 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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