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Simplifying 2x + 5(-3x + 1) = -3(-3x + 1) Reorder the terms: 2x + 5(1 + -3x) = -3(-3x + 1) 2x + (1 * 5 + -3x * 5) = -3(-3x + 1) 2x + (5 + -15x) = -3(-3x + 1) Reorder the terms: 5 + 2x + -15x = -3(-3x + 1) Combine like terms: 2x + -15x = -13x 5 + -13x = -3(-3x + 1) Reorder the terms: 5 + -13x = -3(1 + -3x) 5 + -13x = (1 * -3 + -3x * -3) 5 + -13x = (-3 + 9x) Solving 5 + -13x = -3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + -13x + -9x = -3 + 9x + -9x Combine like terms: -13x + -9x = -22x 5 + -22x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -22x = -3 + 0 5 + -22x = -3 Add '-5' to each side of the equation. 5 + -5 + -22x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -22x = -3 + -5 -22x = -3 + -5 Combine like terms: -3 + -5 = -8 -22x = -8 Divide each side by '-22'. x = 0.3636363636 Simplifying x = 0.3636363636
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