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Simplifying 40(20 + -4X) + -14(x + 20) = 4(5x + -10) (20 * 40 + -4X * 40) + -14(x + 20) = 4(5x + -10) (800 + -160X) + -14(x + 20) = 4(5x + -10) Reorder the terms: 800 + -160X + -14(20 + x) = 4(5x + -10) 800 + -160X + (20 * -14 + x * -14) = 4(5x + -10) 800 + -160X + (-280 + -14x) = 4(5x + -10) Reorder the terms: 800 + -280 + -160X + -14x = 4(5x + -10) Combine like terms: 800 + -280 = 520 520 + -160X + -14x = 4(5x + -10) Reorder the terms: 520 + -160X + -14x = 4(-10 + 5x) 520 + -160X + -14x = (-10 * 4 + 5x * 4) 520 + -160X + -14x = (-40 + 20x) Solving 520 + -160X + -14x = -40 + 20x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-520' to each side of the equation. 520 + -160X + -520 + -14x = -40 + -520 + 20x Reorder the terms: 520 + -520 + -160X + -14x = -40 + -520 + 20x Combine like terms: 520 + -520 = 0 0 + -160X + -14x = -40 + -520 + 20x -160X + -14x = -40 + -520 + 20x Combine like terms: -40 + -520 = -560 -160X + -14x = -560 + 20x Add '14x' to each side of the equation. -160X + -14x + 14x = -560 + 20x + 14x Combine like terms: -14x + 14x = 0 -160X + 0 = -560 + 20x + 14x -160X = -560 + 20x + 14x Combine like terms: 20x + 14x = 34x -160X = -560 + 34x Divide each side by '-160'. X = 3.5 + -0.2125x Simplifying X = 3.5 + -0.2125x
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