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Simplifying 5(2x + -16) = -4(-2x + 14) Reorder the terms: 5(-16 + 2x) = -4(-2x + 14) (-16 * 5 + 2x * 5) = -4(-2x + 14) (-80 + 10x) = -4(-2x + 14) Reorder the terms: -80 + 10x = -4(14 + -2x) -80 + 10x = (14 * -4 + -2x * -4) -80 + 10x = (-56 + 8x) Solving -80 + 10x = -56 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -80 + 10x + -8x = -56 + 8x + -8x Combine like terms: 10x + -8x = 2x -80 + 2x = -56 + 8x + -8x Combine like terms: 8x + -8x = 0 -80 + 2x = -56 + 0 -80 + 2x = -56 Add '80' to each side of the equation. -80 + 80 + 2x = -56 + 80 Combine like terms: -80 + 80 = 0 0 + 2x = -56 + 80 2x = -56 + 80 Combine like terms: -56 + 80 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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