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Simplifying 4(3x + 1) = -5x + 9 Reorder the terms: 4(1 + 3x) = -5x + 9 (1 * 4 + 3x * 4) = -5x + 9 (4 + 12x) = -5x + 9 Reorder the terms: 4 + 12x = 9 + -5x Solving 4 + 12x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 4 + 12x + 5x = 9 + -5x + 5x Combine like terms: 12x + 5x = 17x 4 + 17x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 4 + 17x = 9 + 0 4 + 17x = 9 Add '-4' to each side of the equation. 4 + -4 + 17x = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 17x = 9 + -4 17x = 9 + -4 Combine like terms: 9 + -4 = 5 17x = 5 Divide each side by '17'. x = 0.2941176471 Simplifying x = 0.2941176471
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