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Simplifying 4(6x + 8) + 7 = 1 + 5x Reorder the terms: 4(8 + 6x) + 7 = 1 + 5x (8 * 4 + 6x * 4) + 7 = 1 + 5x (32 + 24x) + 7 = 1 + 5x Reorder the terms: 32 + 7 + 24x = 1 + 5x Combine like terms: 32 + 7 = 39 39 + 24x = 1 + 5x Solving 39 + 24x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 39 + 24x + -5x = 1 + 5x + -5x Combine like terms: 24x + -5x = 19x 39 + 19x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + 19x = 1 + 0 39 + 19x = 1 Add '-39' to each side of the equation. 39 + -39 + 19x = 1 + -39 Combine like terms: 39 + -39 = 0 0 + 19x = 1 + -39 19x = 1 + -39 Combine like terms: 1 + -39 = -38 19x = -38 Divide each side by '19'. x = -2 Simplifying x = -2
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