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Simplifying 5(2x + -16) = -4(2x + -70) Reorder the terms: 5(-16 + 2x) = -4(2x + -70) (-16 * 5 + 2x * 5) = -4(2x + -70) (-80 + 10x) = -4(2x + -70) Reorder the terms: -80 + 10x = -4(-70 + 2x) -80 + 10x = (-70 * -4 + 2x * -4) -80 + 10x = (280 + -8x) Solving -80 + 10x = 280 + -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 = 280 + -8x + 8x Combine like terms: 10x + 8x = 18x -80 + 18x = 280 + -8x + 8x Combine like terms: -8x + 8x = 0 -80 + 18x = 280 + 0 -80 + 18x = 280 Add '80' to each side of the equation. -80 + 80 + 18x = 280 + 80 Combine like terms: -80 + 80 = 0 0 + 18x = 280 + 80 18x = 280 + 80 Combine like terms: 280 + 80 = 360 18x = 360 Divide each side by '18'. x = 20 Simplifying x = 20
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