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Simplifying 8(x + -3) + 2(5 + -1x) = -1x Reorder the terms: 8(-3 + x) + 2(5 + -1x) = -1x (-3 * 8 + x * 8) + 2(5 + -1x) = -1x (-24 + 8x) + 2(5 + -1x) = -1x -24 + 8x + (5 * 2 + -1x * 2) = -1x -24 + 8x + (10 + -2x) = -1x Reorder the terms: -24 + 10 + 8x + -2x = -1x Combine like terms: -24 + 10 = -14 -14 + 8x + -2x = -1x Combine like terms: 8x + -2x = 6x -14 + 6x = -1x Solving -14 + 6x = -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. -14 + 6x + x = -1x + x Combine like terms: 6x + x = 7x -14 + 7x = -1x + x Combine like terms: -1x + x = 0 -14 + 7x = 0 Add '14' to each side of the equation. -14 + 14 + 7x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 7x = 0 + 14 7x = 0 + 14 Combine like terms: 0 + 14 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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