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Simplifying 5(3 + -4x) = 9 + -3(1 + -3x) (3 * 5 + -4x * 5) = 9 + -3(1 + -3x) (15 + -20x) = 9 + -3(1 + -3x) 15 + -20x = 9 + (1 * -3 + -3x * -3) 15 + -20x = 9 + (-3 + 9x) Combine like terms: 9 + -3 = 6 15 + -20x = 6 + 9x Solving 15 + -20x = 6 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + -20x + -9x = 6 + 9x + -9x Combine like terms: -20x + -9x = -29x 15 + -29x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 15 + -29x = 6 + 0 15 + -29x = 6 Add '-15' to each side of the equation. 15 + -15 + -29x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -29x = 6 + -15 -29x = 6 + -15 Combine like terms: 6 + -15 = -9 -29x = -9 Divide each side by '-29'. x = 0.3103448276 Simplifying x = 0.3103448276
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