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Simplifying 5(-3 + x) + -1(1 + -1x)(-2) = 2 (-3 * 5 + x * 5) + -1(1 + -1x)(-2) = 2 (-15 + 5x) + -1(1 + -1x)(-2) = 2 Reorder the terms for easier multiplication: -15 + 5x + -1 * -2(1 + -1x) = 2 Multiply -1 * -2 -15 + 5x + 2(1 + -1x) = 2 -15 + 5x + (1 * 2 + -1x * 2) = 2 -15 + 5x + (2 + -2x) = 2 Reorder the terms: -15 + 2 + 5x + -2x = 2 Combine like terms: -15 + 2 = -13 -13 + 5x + -2x = 2 Combine like terms: 5x + -2x = 3x -13 + 3x = 2 Solving -13 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 2 + 13 3x = 2 + 13 Combine like terms: 2 + 13 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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