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Simplifying 5(x + 3) = 29 + 7x Reorder the terms: 5(3 + x) = 29 + 7x (3 * 5 + x * 5) = 29 + 7x (15 + 5x) = 29 + 7x Solving 15 + 5x = 29 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 5x + -7x = 29 + 7x + -7x Combine like terms: 5x + -7x = -2x 15 + -2x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + -2x = 29 + 0 15 + -2x = 29 Add '-15' to each side of the equation. 15 + -15 + -2x = 29 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 29 + -15 -2x = 29 + -15 Combine like terms: 29 + -15 = 14 -2x = 14 Divide each side by '-2'. x = -7 Simplifying x = -7
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