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Simplifying (-1x) + -2(3x + 1) = (-1x) + (-8) Reorder the terms: (-1x) + -2(1 + 3x) = (-1x) + (-8) (-1x) + (1 * -2 + 3x * -2) = (-1x) + (-8) (-1x) + (-2 + -6x) = (-1x) + (-8) Reorder the terms: -2 + (-1x) + -6x = (-1x) + (-8) Combine like terms: (-1x) + -6x = -7x -2 + -7x = (-1x) + (-8) -2 + -7x = (-1x) + -8 Reorder the terms: -2 + -7x = -8 + (-1x) Solving -2 + -7x = -8 + (-1x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(x)' to each side of the equation. -2 + -7x + (x) = -8 + (-1x) + (x) -2 + -7x + x = -8 + (-1x) + (x) Combine like terms: -7x + x = -6x -2 + -6x = -8 + (-1x) + (x) -2 + -6x = -8 + (-1x) + x Combine like terms: (-1x) + x = 0 -2 + -6x = -8 + 0 -2 + -6x = -8 Add '2' to each side of the equation. -2 + 2 + -6x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -6x = -8 + 2 -6x = -8 + 2 Combine like terms: -8 + 2 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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