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Simplifying 7x + 29 = 10x + 14 Reorder the terms: 29 + 7x = 10x + 14 Reorder the terms: 29 + 7x = 14 + 10x Solving 29 + 7x = 14 + 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. 29 + 7x + -10x = 14 + 10x + -10x Combine like terms: 7x + -10x = -3x 29 + -3x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 29 + -3x = 14 + 0 29 + -3x = 14 Add '-29' to each side of the equation. 29 + -29 + -3x = 14 + -29 Combine like terms: 29 + -29 = 0 0 + -3x = 14 + -29 -3x = 14 + -29 Combine like terms: 14 + -29 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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