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