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Simplifying 10x + 29 = (1 + 3x) * 7 Reorder the terms: 29 + 10x = (1 + 3x) * 7 Reorder the terms for easier multiplication: 29 + 10x = 7(1 + 3x) 29 + 10x = (1 * 7 + 3x * 7) 29 + 10x = (7 + 21x) Solving 29 + 10x = 7 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 29 + 10x + -21x = 7 + 21x + -21x Combine like terms: 10x + -21x = -11x 29 + -11x = 7 + 21x + -21x Combine like terms: 21x + -21x = 0 29 + -11x = 7 + 0 29 + -11x = 7 Add '-29' to each side of the equation. 29 + -29 + -11x = 7 + -29 Combine like terms: 29 + -29 = 0 0 + -11x = 7 + -29 -11x = 7 + -29 Combine like terms: 7 + -29 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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