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Simplifying 7x + -2 + -3 = 5 + 8x + 13 Reorder the terms: -2 + -3 + 7x = 5 + 8x + 13 Combine like terms: -2 + -3 = -5 -5 + 7x = 5 + 8x + 13 Reorder the terms: -5 + 7x = 5 + 13 + 8x Combine like terms: 5 + 13 = 18 -5 + 7x = 18 + 8x Solving -5 + 7x = 18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 7x + -8x = 18 + 8x + -8x Combine like terms: 7x + -8x = -1x -5 + -1x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -1x = 18 + 0 -5 + -1x = 18 Add '5' to each side of the equation. -5 + 5 + -1x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 18 + 5 -1x = 18 + 5 Combine like terms: 18 + 5 = 23 -1x = 23 Divide each side by '-1'. x = -23 Simplifying x = -23
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