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Simplifying 3(2x + 1) = 4(5x + -3) Reorder the terms: 3(1 + 2x) = 4(5x + -3) (1 * 3 + 2x * 3) = 4(5x + -3) (3 + 6x) = 4(5x + -3) Reorder the terms: 3 + 6x = 4(-3 + 5x) 3 + 6x = (-3 * 4 + 5x * 4) 3 + 6x = (-12 + 20x) Solving 3 + 6x = -12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 3 + 6x + -20x = -12 + 20x + -20x Combine like terms: 6x + -20x = -14x 3 + -14x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 3 + -14x = -12 + 0 3 + -14x = -12 Add '-3' to each side of the equation. 3 + -3 + -14x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -14x = -12 + -3 -14x = -12 + -3 Combine like terms: -12 + -3 = -15 -14x = -15 Divide each side by '-14'. x = 1.071428571 Simplifying x = 1.071428571
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