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Simplifying 10x + -5 = -8x + 13 Reorder the terms: -5 + 10x = -8x + 13 Reorder the terms: -5 + 10x = 13 + -8x Solving -5 + 10x = 13 + -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 + 10x + 8x = 13 + -8x + 8x Combine like terms: 10x + 8x = 18x -5 + 18x = 13 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + 18x = 13 + 0 -5 + 18x = 13 Add '5' to each side of the equation. -5 + 5 + 18x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 18x = 13 + 5 18x = 13 + 5 Combine like terms: 13 + 5 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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