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Simplifying 3(3 + -5x) = 3(4x + 1) (3 * 3 + -5x * 3) = 3(4x + 1) (9 + -15x) = 3(4x + 1) Reorder the terms: 9 + -15x = 3(1 + 4x) 9 + -15x = (1 * 3 + 4x * 3) 9 + -15x = (3 + 12x) Solving 9 + -15x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 9 + -15x + -12x = 3 + 12x + -12x Combine like terms: -15x + -12x = -27x 9 + -27x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 9 + -27x = 3 + 0 9 + -27x = 3 Add '-9' to each side of the equation. 9 + -9 + -27x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -27x = 3 + -9 -27x = 3 + -9 Combine like terms: 3 + -9 = -6 -27x = -6 Divide each side by '-27'. x = 0.2222222222 Simplifying x = 0.2222222222
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