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Simplifying 3x + 29 = 5(x + 9) Reorder the terms: 29 + 3x = 5(x + 9) Reorder the terms: 29 + 3x = 5(9 + x) 29 + 3x = (9 * 5 + x * 5) 29 + 3x = (45 + 5x) Solving 29 + 3x = 45 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 29 + 3x + -5x = 45 + 5x + -5x Combine like terms: 3x + -5x = -2x 29 + -2x = 45 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + -2x = 45 + 0 29 + -2x = 45 Add '-29' to each side of the equation. 29 + -29 + -2x = 45 + -29 Combine like terms: 29 + -29 = 0 0 + -2x = 45 + -29 -2x = 45 + -29 Combine like terms: 45 + -29 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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