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Simplifying -3(5x + 1) = 39 + -8x Reorder the terms: -3(1 + 5x) = 39 + -8x (1 * -3 + 5x * -3) = 39 + -8x (-3 + -15x) = 39 + -8x Solving -3 + -15x = 39 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + -15x + 8x = 39 + -8x + 8x Combine like terms: -15x + 8x = -7x -3 + -7x = 39 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + -7x = 39 + 0 -3 + -7x = 39 Add '3' to each side of the equation. -3 + 3 + -7x = 39 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 39 + 3 -7x = 39 + 3 Combine like terms: 39 + 3 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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