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Simplifying -3(5x + -3) + 2x = 5x + 3(x + -3) Reorder the terms: -3(-3 + 5x) + 2x = 5x + 3(x + -3) (-3 * -3 + 5x * -3) + 2x = 5x + 3(x + -3) (9 + -15x) + 2x = 5x + 3(x + -3) Combine like terms: -15x + 2x = -13x 9 + -13x = 5x + 3(x + -3) Reorder the terms: 9 + -13x = 5x + 3(-3 + x) 9 + -13x = 5x + (-3 * 3 + x * 3) 9 + -13x = 5x + (-9 + 3x) Reorder the terms: 9 + -13x = -9 + 5x + 3x Combine like terms: 5x + 3x = 8x 9 + -13x = -9 + 8x Solving 9 + -13x = -9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 9 + -13x + -8x = -9 + 8x + -8x Combine like terms: -13x + -8x = -21x 9 + -21x = -9 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -21x = -9 + 0 9 + -21x = -9 Add '-9' to each side of the equation. 9 + -9 + -21x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -21x = -9 + -9 -21x = -9 + -9 Combine like terms: -9 + -9 = -18 -21x = -18 Divide each side by '-21'. x = 0.8571428571 Simplifying x = 0.8571428571
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