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Simplifying 2(x + 4) = 9x + 29 Reorder the terms: 2(4 + x) = 9x + 29 (4 * 2 + x * 2) = 9x + 29 (8 + 2x) = 9x + 29 Reorder the terms: 8 + 2x = 29 + 9x Solving 8 + 2x = 29 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 8 + 2x + -9x = 29 + 9x + -9x Combine like terms: 2x + -9x = -7x 8 + -7x = 29 + 9x + -9x Combine like terms: 9x + -9x = 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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