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Simplifying 3(x + -1(5x + 2)) = 8 + -5x Reorder the terms: 3(x + -1(2 + 5x)) = 8 + -5x 3(x + (2 * -1 + 5x * -1)) = 8 + -5x 3(x + (-2 + -5x)) = 8 + -5x Reorder the terms: 3(-2 + x + -5x) = 8 + -5x Combine like terms: x + -5x = -4x 3(-2 + -4x) = 8 + -5x (-2 * 3 + -4x * 3) = 8 + -5x (-6 + -12x) = 8 + -5x Solving -6 + -12x = 8 + -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. -6 + -12x + 5x = 8 + -5x + 5x Combine like terms: -12x + 5x = -7x -6 + -7x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + -7x = 8 + 0 -6 + -7x = 8 Add '6' to each side of the equation. -6 + 6 + -7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 8 + 6 -7x = 8 + 6 Combine like terms: 8 + 6 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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