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Simplifying 3(4x + 1) = -3(3x + -5) + -4x Reorder the terms: 3(1 + 4x) = -3(3x + -5) + -4x (1 * 3 + 4x * 3) = -3(3x + -5) + -4x (3 + 12x) = -3(3x + -5) + -4x Reorder the terms: 3 + 12x = -3(-5 + 3x) + -4x 3 + 12x = (-5 * -3 + 3x * -3) + -4x 3 + 12x = (15 + -9x) + -4x Combine like terms: -9x + -4x = -13x 3 + 12x = 15 + -13x Solving 3 + 12x = 15 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 3 + 12x + 13x = 15 + -13x + 13x Combine like terms: 12x + 13x = 25x 3 + 25x = 15 + -13x + 13x Combine like terms: -13x + 13x = 0 3 + 25x = 15 + 0 3 + 25x = 15 Add '-3' to each side of the equation. 3 + -3 + 25x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 25x = 15 + -3 25x = 15 + -3 Combine like terms: 15 + -3 = 12 25x = 12 Divide each side by '25'. x = 0.48 Simplifying x = 0.48
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