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Simplifying 8 + -3(2x + 3) + 2(x + -1) = 1 Reorder the terms: 8 + -3(3 + 2x) + 2(x + -1) = 1 8 + (3 * -3 + 2x * -3) + 2(x + -1) = 1 8 + (-9 + -6x) + 2(x + -1) = 1 Reorder the terms: 8 + -9 + -6x + 2(-1 + x) = 1 8 + -9 + -6x + (-1 * 2 + x * 2) = 1 8 + -9 + -6x + (-2 + 2x) = 1 Reorder the terms: 8 + -9 + -2 + -6x + 2x = 1 Combine like terms: 8 + -9 = -1 -1 + -2 + -6x + 2x = 1 Combine like terms: -1 + -2 = -3 -3 + -6x + 2x = 1 Combine like terms: -6x + 2x = -4x -3 + -4x = 1 Solving -3 + -4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 1 + 3 -4x = 1 + 3 Combine like terms: 1 + 3 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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