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Simplifying 7(x + 4) = 6x + 29 Reorder the terms: 7(4 + x) = 6x + 29 (4 * 7 + x * 7) = 6x + 29 (28 + 7x) = 6x + 29 Reorder the terms: 28 + 7x = 29 + 6x Solving 28 + 7x = 29 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + 7x + -6x = 29 + 6x + -6x Combine like terms: 7x + -6x = 1x 28 + 1x = 29 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + 1x = 29 + 0 28 + 1x = 29 Add '-28' to each side of the equation. 28 + -28 + 1x = 29 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 29 + -28 1x = 29 + -28 Combine like terms: 29 + -28 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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