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