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Simplifying 20x + -50(3x + -4) = 200 + -2(4x + -5) + -50(3x + -4) Reorder the terms: 20x + -50(-4 + 3x) = 200 + -2(4x + -5) + -50(3x + -4) 20x + (-4 * -50 + 3x * -50) = 200 + -2(4x + -5) + -50(3x + -4) 20x + (200 + -150x) = 200 + -2(4x + -5) + -50(3x + -4) Reorder the terms: 200 + 20x + -150x = 200 + -2(4x + -5) + -50(3x + -4) Combine like terms: 20x + -150x = -130x 200 + -130x = 200 + -2(4x + -5) + -50(3x + -4) Reorder the terms: 200 + -130x = 200 + -2(-5 + 4x) + -50(3x + -4) 200 + -130x = 200 + (-5 * -2 + 4x * -2) + -50(3x + -4) 200 + -130x = 200 + (10 + -8x) + -50(3x + -4) Reorder the terms: 200 + -130x = 200 + 10 + -8x + -50(-4 + 3x) 200 + -130x = 200 + 10 + -8x + (-4 * -50 + 3x * -50) 200 + -130x = 200 + 10 + -8x + (200 + -150x) Reorder the terms: 200 + -130x = 200 + 10 + 200 + -8x + -150x Combine like terms: 200 + 10 = 210 200 + -130x = 210 + 200 + -8x + -150x Combine like terms: 210 + 200 = 410 200 + -130x = 410 + -8x + -150x Combine like terms: -8x + -150x = -158x 200 + -130x = 410 + -158x Solving 200 + -130x = 410 + -158x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '158x' to each side of the equation. 200 + -130x + 158x = 410 + -158x + 158x Combine like terms: -130x + 158x = 28x 200 + 28x = 410 + -158x + 158x Combine like terms: -158x + 158x = 0 200 + 28x = 410 + 0 200 + 28x = 410 Add '-200' to each side of the equation. 200 + -200 + 28x = 410 + -200 Combine like terms: 200 + -200 = 0 0 + 28x = 410 + -200 28x = 410 + -200 Combine like terms: 410 + -200 = 210 28x = 210 Divide each side by '28'. x = 7.5 Simplifying x = 7.5
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