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Simplifying 2(3x + 4) = 4(5x + -12) Reorder the terms: 2(4 + 3x) = 4(5x + -12) (4 * 2 + 3x * 2) = 4(5x + -12) (8 + 6x) = 4(5x + -12) Reorder the terms: 8 + 6x = 4(-12 + 5x) 8 + 6x = (-12 * 4 + 5x * 4) 8 + 6x = (-48 + 20x) Solving 8 + 6x = -48 + 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. 8 + 6x + -20x = -48 + 20x + -20x Combine like terms: 6x + -20x = -14x 8 + -14x = -48 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + -14x = -48 + 0 8 + -14x = -48 Add '-8' to each side of the equation. 8 + -8 + -14x = -48 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -48 + -8 -14x = -48 + -8 Combine like terms: -48 + -8 = -56 -14x = -56 Divide each side by '-14'. x = 4 Simplifying x = 4
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