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Simplifying 6x + 2(400 + -1x) = 400 * 5.5 6x + (400 * 2 + -1x * 2) = 400 * 5.5 6x + (800 + -2x) = 400 * 5.5 Reorder the terms: 800 + 6x + -2x = 400 * 5.5 Combine like terms: 6x + -2x = 4x 800 + 4x = 400 * 5.5 Multiply 400 * 5.5 800 + 4x = 2200 Solving 800 + 4x = 2200 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-800' to each side of the equation. 800 + -800 + 4x = 2200 + -800 Combine like terms: 800 + -800 = 0 0 + 4x = 2200 + -800 4x = 2200 + -800 Combine like terms: 2200 + -800 = 1400 4x = 1400 Divide each side by '4'. x = 350 Simplifying x = 350
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