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Simplifying 4(1 + 6x) + 1 = 2x + -39 (1 * 4 + 6x * 4) + 1 = 2x + -39 (4 + 24x) + 1 = 2x + -39 Reorder the terms: 4 + 1 + 24x = 2x + -39 Combine like terms: 4 + 1 = 5 5 + 24x = 2x + -39 Reorder the terms: 5 + 24x = -39 + 2x Solving 5 + 24x = -39 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 24x + -2x = -39 + 2x + -2x Combine like terms: 24x + -2x = 22x 5 + 22x = -39 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 22x = -39 + 0 5 + 22x = -39 Add '-5' to each side of the equation. 5 + -5 + 22x = -39 + -5 Combine like terms: 5 + -5 = 0 0 + 22x = -39 + -5 22x = -39 + -5 Combine like terms: -39 + -5 = -44 22x = -44 Divide each side by '22'. x = -2 Simplifying x = -2
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