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Simplifying 3(4x + 1) = 9(3x + -5) Reorder the terms: 3(1 + 4x) = 9(3x + -5) (1 * 3 + 4x * 3) = 9(3x + -5) (3 + 12x) = 9(3x + -5) Reorder the terms: 3 + 12x = 9(-5 + 3x) 3 + 12x = (-5 * 9 + 3x * 9) 3 + 12x = (-45 + 27x) Solving 3 + 12x = -45 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 3 + 12x + -27x = -45 + 27x + -27x Combine like terms: 12x + -27x = -15x 3 + -15x = -45 + 27x + -27x Combine like terms: 27x + -27x = 0 3 + -15x = -45 + 0 3 + -15x = -45 Add '-3' to each side of the equation. 3 + -3 + -15x = -45 + -3 Combine like terms: 3 + -3 = 0 0 + -15x = -45 + -3 -15x = -45 + -3 Combine like terms: -45 + -3 = -48 -15x = -48 Divide each side by '-15'. x = 3.2 Simplifying x = 3.2
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