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Simplifying 2(3x + -1) + -2(-5x + 1) = 10 Reorder the terms: 2(-1 + 3x) + -2(-5x + 1) = 10 (-1 * 2 + 3x * 2) + -2(-5x + 1) = 10 (-2 + 6x) + -2(-5x + 1) = 10 Reorder the terms: -2 + 6x + -2(1 + -5x) = 10 -2 + 6x + (1 * -2 + -5x * -2) = 10 -2 + 6x + (-2 + 10x) = 10 Reorder the terms: -2 + -2 + 6x + 10x = 10 Combine like terms: -2 + -2 = -4 -4 + 6x + 10x = 10 Combine like terms: 6x + 10x = 16x -4 + 16x = 10 Solving -4 + 16x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 16x = 10 + 4 Combine like terms: -4 + 4 = 0 0 + 16x = 10 + 4 16x = 10 + 4 Combine like terms: 10 + 4 = 14 16x = 14 Divide each side by '16'. x = 0.875 Simplifying x = 0.875
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