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Simplifying 5x + 4x + -1x + 100 = 500 + 3x Reorder the terms: 100 + 5x + 4x + -1x = 500 + 3x Combine like terms: 5x + 4x = 9x 100 + 9x + -1x = 500 + 3x Combine like terms: 9x + -1x = 8x 100 + 8x = 500 + 3x Solving 100 + 8x = 500 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 100 + 8x + -3x = 500 + 3x + -3x Combine like terms: 8x + -3x = 5x 100 + 5x = 500 + 3x + -3x Combine like terms: 3x + -3x = 0 100 + 5x = 500 + 0 100 + 5x = 500 Add '-100' to each side of the equation. 100 + -100 + 5x = 500 + -100 Combine like terms: 100 + -100 = 0 0 + 5x = 500 + -100 5x = 500 + -100 Combine like terms: 500 + -100 = 400 5x = 400 Divide each side by '5'. x = 80 Simplifying x = 80
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