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Simplifying 3(3x + 1) = -5(2x + -5) + 2x Reorder the terms: 3(1 + 3x) = -5(2x + -5) + 2x (1 * 3 + 3x * 3) = -5(2x + -5) + 2x (3 + 9x) = -5(2x + -5) + 2x Reorder the terms: 3 + 9x = -5(-5 + 2x) + 2x 3 + 9x = (-5 * -5 + 2x * -5) + 2x 3 + 9x = (25 + -10x) + 2x Combine like terms: -10x + 2x = -8x 3 + 9x = 25 + -8x Solving 3 + 9x = 25 + -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. 3 + 9x + 8x = 25 + -8x + 8x Combine like terms: 9x + 8x = 17x 3 + 17x = 25 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 17x = 25 + 0 3 + 17x = 25 Add '-3' to each side of the equation. 3 + -3 + 17x = 25 + -3 Combine like terms: 3 + -3 = 0 0 + 17x = 25 + -3 17x = 25 + -3 Combine like terms: 25 + -3 = 22 17x = 22 Divide each side by '17'. x = 1.294117647 Simplifying x = 1.294117647
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