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Simplifying 3(3x + 1) = 6 + -5(3x + -3) Reorder the terms: 3(1 + 3x) = 6 + -5(3x + -3) (1 * 3 + 3x * 3) = 6 + -5(3x + -3) (3 + 9x) = 6 + -5(3x + -3) Reorder the terms: 3 + 9x = 6 + -5(-3 + 3x) 3 + 9x = 6 + (-3 * -5 + 3x * -5) 3 + 9x = 6 + (15 + -15x) Combine like terms: 6 + 15 = 21 3 + 9x = 21 + -15x Solving 3 + 9x = 21 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 3 + 9x + 15x = 21 + -15x + 15x Combine like terms: 9x + 15x = 24x 3 + 24x = 21 + -15x + 15x Combine like terms: -15x + 15x = 0 3 + 24x = 21 + 0 3 + 24x = 21 Add '-3' to each side of the equation. 3 + -3 + 24x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 24x = 21 + -3 24x = 21 + -3 Combine like terms: 21 + -3 = 18 24x = 18 Divide each side by '24'. x = 0.75 Simplifying x = 0.75
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