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Simplifying 4(2x + 6) + 5 = 1 + 6x Reorder the terms: 4(6 + 2x) + 5 = 1 + 6x (6 * 4 + 2x * 4) + 5 = 1 + 6x (24 + 8x) + 5 = 1 + 6x Reorder the terms: 24 + 5 + 8x = 1 + 6x Combine like terms: 24 + 5 = 29 29 + 8x = 1 + 6x Solving 29 + 8x = 1 + 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. 29 + 8x + -6x = 1 + 6x + -6x Combine like terms: 8x + -6x = 2x 29 + 2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 29 + 2x = 1 + 0 29 + 2x = 1 Add '-29' to each side of the equation. 29 + -29 + 2x = 1 + -29 Combine like terms: 29 + -29 = 0 0 + 2x = 1 + -29 2x = 1 + -29 Combine like terms: 1 + -29 = -28 2x = -28 Divide each side by '2'. x = -14 Simplifying x = -14
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