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Simplifying 3(3x + 1) = -5(3x + -4) + -3x Reorder the terms: 3(1 + 3x) = -5(3x + -4) + -3x (1 * 3 + 3x * 3) = -5(3x + -4) + -3x (3 + 9x) = -5(3x + -4) + -3x Reorder the terms: 3 + 9x = -5(-4 + 3x) + -3x 3 + 9x = (-4 * -5 + 3x * -5) + -3x 3 + 9x = (20 + -15x) + -3x Combine like terms: -15x + -3x = -18x 3 + 9x = 20 + -18x Solving 3 + 9x = 20 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 3 + 9x + 18x = 20 + -18x + 18x Combine like terms: 9x + 18x = 27x 3 + 27x = 20 + -18x + 18x Combine like terms: -18x + 18x = 0 3 + 27x = 20 + 0 3 + 27x = 20 Add '-3' to each side of the equation. 3 + -3 + 27x = 20 + -3 Combine like terms: 3 + -3 = 0 0 + 27x = 20 + -3 27x = 20 + -3 Combine like terms: 20 + -3 = 17 27x = 17 Divide each side by '27'. x = 0.6296296296 Simplifying x = 0.6296296296
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