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Simplifying 400 + 2(50 + -1x) + 3x = 600 + -1x 400 + (50 * 2 + -1x * 2) + 3x = 600 + -1x 400 + (100 + -2x) + 3x = 600 + -1x Combine like terms: 400 + 100 = 500 500 + -2x + 3x = 600 + -1x Combine like terms: -2x + 3x = 1x 500 + 1x = 600 + -1x Solving 500 + 1x = 600 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 500 + 1x + x = 600 + -1x + x Combine like terms: 1x + x = 2x 500 + 2x = 600 + -1x + x Combine like terms: -1x + x = 0 500 + 2x = 600 + 0 500 + 2x = 600 Add '-500' to each side of the equation. 500 + -500 + 2x = 600 + -500 Combine like terms: 500 + -500 = 0 0 + 2x = 600 + -500 2x = 600 + -500 Combine like terms: 600 + -500 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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