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Simplifying 2 + -1(4 + -5x) = 2(x + -3) + 3(1 + -2x) 2 + (4 * -1 + -5x * -1) = 2(x + -3) + 3(1 + -2x) 2 + (-4 + 5x) = 2(x + -3) + 3(1 + -2x) Combine like terms: 2 + -4 = -2 -2 + 5x = 2(x + -3) + 3(1 + -2x) Reorder the terms: -2 + 5x = 2(-3 + x) + 3(1 + -2x) -2 + 5x = (-3 * 2 + x * 2) + 3(1 + -2x) -2 + 5x = (-6 + 2x) + 3(1 + -2x) -2 + 5x = -6 + 2x + (1 * 3 + -2x * 3) -2 + 5x = -6 + 2x + (3 + -6x) Reorder the terms: -2 + 5x = -6 + 3 + 2x + -6x Combine like terms: -6 + 3 = -3 -2 + 5x = -3 + 2x + -6x Combine like terms: 2x + -6x = -4x -2 + 5x = -3 + -4x Solving -2 + 5x = -3 + -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. -2 + 5x + 4x = -3 + -4x + 4x Combine like terms: 5x + 4x = 9x -2 + 9x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 9x = -3 + 0 -2 + 9x = -3 Add '2' to each side of the equation. -2 + 2 + 9x = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = -3 + 2 9x = -3 + 2 Combine like terms: -3 + 2 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111
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