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Simplifying 6 + 2(1 + 2x) = 29 + -3x 6 + (1 * 2 + 2x * 2) = 29 + -3x 6 + (2 + 4x) = 29 + -3x Combine like terms: 6 + 2 = 8 8 + 4x = 29 + -3x Solving 8 + 4x = 29 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + 4x + 3x = 29 + -3x + 3x Combine like terms: 4x + 3x = 7x 8 + 7x = 29 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 7x = 29 + 0 8 + 7x = 29 Add '-8' to each side of the equation. 8 + -8 + 7x = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 29 + -8 7x = 29 + -8 Combine like terms: 29 + -8 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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