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Simplifying 2(3x + 2) = 4(5x + -3) Reorder the terms: 2(2 + 3x) = 4(5x + -3) (2 * 2 + 3x * 2) = 4(5x + -3) (4 + 6x) = 4(5x + -3) Reorder the terms: 4 + 6x = 4(-3 + 5x) 4 + 6x = (-3 * 4 + 5x * 4) 4 + 6x = (-12 + 20x) Solving 4 + 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. 4 + 6x + -20x = -12 + 20x + -20x Combine like terms: 6x + -20x = -14x 4 + -14x = -12 + 20x + -20x Combine like terms: 20x + -20x = 0 4 + -14x = -12 + 0 4 + -14x = -12 Add '-4' to each side of the equation. 4 + -4 + -14x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -12 + -4 -14x = -12 + -4 Combine like terms: -12 + -4 = -16 -14x = -16 Divide each side by '-14'. x = 1.142857143 Simplifying x = 1.142857143
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