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Simplifying -5(3x + 1) = -6 + -8x Reorder the terms: -5(1 + 3x) = -6 + -8x (1 * -5 + 3x * -5) = -6 + -8x (-5 + -15x) = -6 + -8x Solving -5 + -15x = -6 + -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. -5 + -15x + 8x = -6 + -8x + 8x Combine like terms: -15x + 8x = -7x -5 + -7x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 -5 + -7x = -6 + 0 -5 + -7x = -6 Add '5' to each side of the equation. -5 + 5 + -7x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = -6 + 5 -7x = -6 + 5 Combine like terms: -6 + 5 = -1 -7x = -1 Divide each side by '-7'. x = 0.1428571429 Simplifying x = 0.1428571429
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