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Simplifying 10x + 5 = x + 14 Reorder the terms: 5 + 10x = x + 14 Reorder the terms: 5 + 10x = 14 + x Solving 5 + 10x = 14 + 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. 5 + 10x + -1x = 14 + x + -1x Combine like terms: 10x + -1x = 9x 5 + 9x = 14 + x + -1x Combine like terms: x + -1x = 0 5 + 9x = 14 + 0 5 + 9x = 14 Add '-5' to each side of the equation. 5 + -5 + 9x = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 9x = 14 + -5 9x = 14 + -5 Combine like terms: 14 + -5 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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