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