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Simplifying 6(x + -3) + -2(7 + -1x) = 8 Reorder the terms: 6(-3 + x) + -2(7 + -1x) = 8 (-3 * 6 + x * 6) + -2(7 + -1x) = 8 (-18 + 6x) + -2(7 + -1x) = 8 -18 + 6x + (7 * -2 + -1x * -2) = 8 -18 + 6x + (-14 + 2x) = 8 Reorder the terms: -18 + -14 + 6x + 2x = 8 Combine like terms: -18 + -14 = -32 -32 + 6x + 2x = 8 Combine like terms: 6x + 2x = 8x -32 + 8x = 8 Solving -32 + 8x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 8x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 8x = 8 + 32 8x = 8 + 32 Combine like terms: 8 + 32 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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