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Simplifying 14x + 1 = 10x + 29 Reorder the terms: 1 + 14x = 10x + 29 Reorder the terms: 1 + 14x = 29 + 10x Solving 1 + 14x = 29 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1 + 14x + -10x = 29 + 10x + -10x Combine like terms: 14x + -10x = 4x 1 + 4x = 29 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + 4x = 29 + 0 1 + 4x = 29 Add '-1' to each side of the equation. 1 + -1 + 4x = 29 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 29 + -1 4x = 29 + -1 Combine like terms: 29 + -1 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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