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Simplifying 5x + 3 + 3x + -24 = 35 + x Reorder the terms: 3 + -24 + 5x + 3x = 35 + x Combine like terms: 3 + -24 = -21 -21 + 5x + 3x = 35 + x Combine like terms: 5x + 3x = 8x -21 + 8x = 35 + x Solving -21 + 8x = 35 + 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. -21 + 8x + -1x = 35 + x + -1x Combine like terms: 8x + -1x = 7x -21 + 7x = 35 + x + -1x Combine like terms: x + -1x = 0 -21 + 7x = 35 + 0 -21 + 7x = 35 Add '21' to each side of the equation. -21 + 21 + 7x = 35 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 35 + 21 7x = 35 + 21 Combine like terms: 35 + 21 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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