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Simplifying 6x + 250 + 6x + -400 = 4x + 300 Reorder the terms: 250 + -400 + 6x + 6x = 4x + 300 Combine like terms: 250 + -400 = -150 -150 + 6x + 6x = 4x + 300 Combine like terms: 6x + 6x = 12x -150 + 12x = 4x + 300 Reorder the terms: -150 + 12x = 300 + 4x Solving -150 + 12x = 300 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -150 + 12x + -4x = 300 + 4x + -4x Combine like terms: 12x + -4x = 8x -150 + 8x = 300 + 4x + -4x Combine like terms: 4x + -4x = 0 -150 + 8x = 300 + 0 -150 + 8x = 300 Add '150' to each side of the equation. -150 + 150 + 8x = 300 + 150 Combine like terms: -150 + 150 = 0 0 + 8x = 300 + 150 8x = 300 + 150 Combine like terms: 300 + 150 = 450 8x = 450 Divide each side by '8'. x = 56.25 Simplifying x = 56.25
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