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Simplifying 3x + x + 4x + 49 = 560 + x Reorder the terms: 49 + 3x + x + 4x = 560 + x Combine like terms: 3x + x = 4x 49 + 4x + 4x = 560 + x Combine like terms: 4x + 4x = 8x 49 + 8x = 560 + x Solving 49 + 8x = 560 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 49 + 8x + -1x = 560 + x + -1x Combine like terms: 8x + -1x = 7x 49 + 7x = 560 + x + -1x Combine like terms: x + -1x = 0 49 + 7x = 560 + 0 49 + 7x = 560 Add '-49' to each side of the equation. 49 + -49 + 7x = 560 + -49 Combine like terms: 49 + -49 = 0 0 + 7x = 560 + -49 7x = 560 + -49 Combine like terms: 560 + -49 = 511 7x = 511 Divide each side by '7'. x = 73 Simplifying x = 73
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