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Simplifying 400x + 400 = 50(6x + -12) Reorder the terms: 400 + 400x = 50(6x + -12) Reorder the terms: 400 + 400x = 50(-12 + 6x) 400 + 400x = (-12 * 50 + 6x * 50) 400 + 400x = (-600 + 300x) Solving 400 + 400x = -600 + 300x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-300x' to each side of the equation. 400 + 400x + -300x = -600 + 300x + -300x Combine like terms: 400x + -300x = 100x 400 + 100x = -600 + 300x + -300x Combine like terms: 300x + -300x = 0 400 + 100x = -600 + 0 400 + 100x = -600 Add '-400' to each side of the equation. 400 + -400 + 100x = -600 + -400 Combine like terms: 400 + -400 = 0 0 + 100x = -600 + -400 100x = -600 + -400 Combine like terms: -600 + -400 = -1000 100x = -1000 Divide each side by '100'. x = -10 Simplifying x = -10
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