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Simplifying 8x + 10 = 3x + 400 + 110 Reorder the terms: 10 + 8x = 3x + 400 + 110 Reorder the terms: 10 + 8x = 400 + 110 + 3x Combine like terms: 400 + 110 = 510 10 + 8x = 510 + 3x Solving 10 + 8x = 510 + 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. 10 + 8x + -3x = 510 + 3x + -3x Combine like terms: 8x + -3x = 5x 10 + 5x = 510 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 5x = 510 + 0 10 + 5x = 510 Add '-10' to each side of the equation. 10 + -10 + 5x = 510 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 510 + -10 5x = 510 + -10 Combine like terms: 510 + -10 = 500 5x = 500 Divide each side by '5'. x = 100 Simplifying x = 100
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