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Simplifying 10x + 1 = -8x + 5 Reorder the terms: 1 + 10x = -8x + 5 Reorder the terms: 1 + 10x = 5 + -8x Solving 1 + 10x = 5 + -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. 1 + 10x + 8x = 5 + -8x + 8x Combine like terms: 10x + 8x = 18x 1 + 18x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 1 + 18x = 5 + 0 1 + 18x = 5 Add '-1' to each side of the equation. 1 + -1 + 18x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 18x = 5 + -1 18x = 5 + -1 Combine like terms: 5 + -1 = 4 18x = 4 Divide each side by '18'. x = 0.2222222222 Simplifying x = 0.2222222222
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