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Simplifying 3(x + 5) + -6 = 29 + -1x Reorder the terms: 3(5 + x) + -6 = 29 + -1x (5 * 3 + x * 3) + -6 = 29 + -1x (15 + 3x) + -6 = 29 + -1x Reorder the terms: 15 + -6 + 3x = 29 + -1x Combine like terms: 15 + -6 = 9 9 + 3x = 29 + -1x Solving 9 + 3x = 29 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 9 + 3x + x = 29 + -1x + x Combine like terms: 3x + x = 4x 9 + 4x = 29 + -1x + x Combine like terms: -1x + x = 0 9 + 4x = 29 + 0 9 + 4x = 29 Add '-9' to each side of the equation. 9 + -9 + 4x = 29 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 29 + -9 4x = 29 + -9 Combine like terms: 29 + -9 = 20 4x = 20 Divide each side by '4'. x = 5 Simplifying x = 5
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