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Simplifying 5x + -2 + 3x + 1 = 23 + 7x Reorder the terms: -2 + 1 + 5x + 3x = 23 + 7x Combine like terms: -2 + 1 = -1 -1 + 5x + 3x = 23 + 7x Combine like terms: 5x + 3x = 8x -1 + 8x = 23 + 7x Solving -1 + 8x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 8x + -7x = 23 + 7x + -7x Combine like terms: 8x + -7x = 1x -1 + 1x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 1x = 23 + 0 -1 + 1x = 23 Add '1' to each side of the equation. -1 + 1 + 1x = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 23 + 1 1x = 23 + 1 Combine like terms: 23 + 1 = 24 1x = 24 Divide each side by '1'. x = 24 Simplifying x = 24
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