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Simplifying -5(3x + -3) + 9x = 5x + -3 Reorder the terms: -5(-3 + 3x) + 9x = 5x + -3 (-3 * -5 + 3x * -5) + 9x = 5x + -3 (15 + -15x) + 9x = 5x + -3 Combine like terms: -15x + 9x = -6x 15 + -6x = 5x + -3 Reorder the terms: 15 + -6x = -3 + 5x Solving 15 + -6x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + -6x + -5x = -3 + 5x + -5x Combine like terms: -6x + -5x = -11x 15 + -11x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -11x = -3 + 0 15 + -11x = -3 Add '-15' to each side of the equation. 15 + -15 + -11x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -11x = -3 + -15 -11x = -3 + -15 Combine like terms: -3 + -15 = -18 -11x = -18 Divide each side by '-11'. x = 1.636363636 Simplifying x = 1.636363636
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