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Simplifying -2x + -3(x + -1) + 2x(-3 + -1) = 1 + -4x + -2 Reorder the terms: -2x + -3(-1 + x) + 2x(-3 + -1) = 1 + -4x + -2 -2x + (-1 * -3 + x * -3) + 2x(-3 + -1) = 1 + -4x + -2 -2x + (3 + -3x) + 2x(-3 + -1) = 1 + -4x + -2 Combine like terms: -3 + -1 = -4 -2x + 3 + -3x + 2x(-4) = 1 + -4x + -2 Reorder the terms for easier multiplication: -2x + 3 + -3x + 2 * -4x = 1 + -4x + -2 Multiply 2 * -4 -2x + 3 + -3x + -8x = 1 + -4x + -2 Reorder the terms: 3 + -2x + -3x + -8x = 1 + -4x + -2 Combine like terms: -2x + -3x = -5x 3 + -5x + -8x = 1 + -4x + -2 Combine like terms: -5x + -8x = -13x 3 + -13x = 1 + -4x + -2 Reorder the terms: 3 + -13x = 1 + -2 + -4x Combine like terms: 1 + -2 = -1 3 + -13x = -1 + -4x Solving 3 + -13x = -1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + -13x + 4x = -1 + -4x + 4x Combine like terms: -13x + 4x = -9x 3 + -9x = -1 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + -9x = -1 + 0 3 + -9x = -1 Add '-3' to each side of the equation. 3 + -3 + -9x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = -1 + -3 -9x = -1 + -3 Combine like terms: -1 + -3 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444
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