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Simplifying -2(1 + -3x) = 5(1 + -1x) + -3x (1 * -2 + -3x * -2) = 5(1 + -1x) + -3x (-2 + 6x) = 5(1 + -1x) + -3x -2 + 6x = (1 * 5 + -1x * 5) + -3x -2 + 6x = (5 + -5x) + -3x Combine like terms: -5x + -3x = -8x -2 + 6x = 5 + -8x Solving -2 + 6x = 5 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -2 + 6x + 8x = 5 + -8x + 8x Combine like terms: 6x + 8x = 14x -2 + 14x = 5 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 14x = 5 + 0 -2 + 14x = 5 Add '2' to each side of the equation. -2 + 2 + 14x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 5 + 2 14x = 5 + 2 Combine like terms: 5 + 2 = 7 14x = 7 Divide each side by '14'. x = 0.5 Simplifying x = 0.5
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