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Simplifying 3(3x + -2) + 9 = 4(5x + -2) Reorder the terms: 3(-2 + 3x) + 9 = 4(5x + -2) (-2 * 3 + 3x * 3) + 9 = 4(5x + -2) (-6 + 9x) + 9 = 4(5x + -2) Reorder the terms: -6 + 9 + 9x = 4(5x + -2) Combine like terms: -6 + 9 = 3 3 + 9x = 4(5x + -2) Reorder the terms: 3 + 9x = 4(-2 + 5x) 3 + 9x = (-2 * 4 + 5x * 4) 3 + 9x = (-8 + 20x) Solving 3 + 9x = -8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 3 + 9x + -20x = -8 + 20x + -20x Combine like terms: 9x + -20x = -11x 3 + -11x = -8 + 20x + -20x Combine like terms: 20x + -20x = 0 3 + -11x = -8 + 0 3 + -11x = -8 Add '-3' to each side of the equation. 3 + -3 + -11x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -11x = -8 + -3 -11x = -8 + -3 Combine like terms: -8 + -3 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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