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Simplifying 2(1 + -3x) + -4(1 + 2x) = -5x (1 * 2 + -3x * 2) + -4(1 + 2x) = -5x (2 + -6x) + -4(1 + 2x) = -5x 2 + -6x + (1 * -4 + 2x * -4) = -5x 2 + -6x + (-4 + -8x) = -5x Reorder the terms: 2 + -4 + -6x + -8x = -5x Combine like terms: 2 + -4 = -2 -2 + -6x + -8x = -5x Combine like terms: -6x + -8x = -14x -2 + -14x = -5x Solving -2 + -14x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2 + -14x + 5x = -5x + 5x Combine like terms: -14x + 5x = -9x -2 + -9x = -5x + 5x Combine like terms: -5x + 5x = 0 -2 + -9x = 0 Add '2' to each side of the equation. -2 + 2 + -9x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 0 + 2 -9x = 0 + 2 Combine like terms: 0 + 2 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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