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