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Simplifying 8(x + -3) + -1(2x + -2) = 2 Reorder the terms: 8(-3 + x) + -1(2x + -2) = 2 (-3 * 8 + x * 8) + -1(2x + -2) = 2 (-24 + 8x) + -1(2x + -2) = 2 Reorder the terms: -24 + 8x + -1(-2 + 2x) = 2 -24 + 8x + (-2 * -1 + 2x * -1) = 2 -24 + 8x + (2 + -2x) = 2 Reorder the terms: -24 + 2 + 8x + -2x = 2 Combine like terms: -24 + 2 = -22 -22 + 8x + -2x = 2 Combine like terms: 8x + -2x = 6x -22 + 6x = 2 Solving -22 + 6x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 6x = 2 + 22 6x = 2 + 22 Combine like terms: 2 + 22 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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