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Simplifying 4(2x + 6) = 29 + 7x Reorder the terms: 4(6 + 2x) = 29 + 7x (6 * 4 + 2x * 4) = 29 + 7x (24 + 8x) = 29 + 7x Solving 24 + 8x = 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. 24 + 8x + -7x = 29 + 7x + -7x Combine like terms: 8x + -7x = 1x 24 + 1x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 24 + 1x = 29 + 0 24 + 1x = 29 Add '-24' to each side of the equation. 24 + -24 + 1x = 29 + -24 Combine like terms: 24 + -24 = 0 0 + 1x = 29 + -24 1x = 29 + -24 Combine like terms: 29 + -24 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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