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Simplifying 4(5x + 2) = 3(2x + -16) Reorder the terms: 4(2 + 5x) = 3(2x + -16) (2 * 4 + 5x * 4) = 3(2x + -16) (8 + 20x) = 3(2x + -16) Reorder the terms: 8 + 20x = 3(-16 + 2x) 8 + 20x = (-16 * 3 + 2x * 3) 8 + 20x = (-48 + 6x) Solving 8 + 20x = -48 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 8 + 20x + -6x = -48 + 6x + -6x Combine like terms: 20x + -6x = 14x 8 + 14x = -48 + 6x + -6x Combine like terms: 6x + -6x = 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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