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Simplifying -2(5 + -3x) + 8 = 4 + 5x (5 * -2 + -3x * -2) + 8 = 4 + 5x (-10 + 6x) + 8 = 4 + 5x Reorder the terms: -10 + 8 + 6x = 4 + 5x Combine like terms: -10 + 8 = -2 -2 + 6x = 4 + 5x Solving -2 + 6x = 4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 6x + -5x = 4 + 5x + -5x Combine like terms: 6x + -5x = 1x -2 + 1x = 4 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 1x = 4 + 0 -2 + 1x = 4 Add '2' to each side of the equation. -2 + 2 + 1x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 4 + 2 1x = 4 + 2 Combine like terms: 4 + 2 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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