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Simplifying 3(2x + -1) + -2(2 + -5x) = 1 Reorder the terms: 3(-1 + 2x) + -2(2 + -5x) = 1 (-1 * 3 + 2x * 3) + -2(2 + -5x) = 1 (-3 + 6x) + -2(2 + -5x) = 1 -3 + 6x + (2 * -2 + -5x * -2) = 1 -3 + 6x + (-4 + 10x) = 1 Reorder the terms: -3 + -4 + 6x + 10x = 1 Combine like terms: -3 + -4 = -7 -7 + 6x + 10x = 1 Combine like terms: 6x + 10x = 16x -7 + 16x = 1 Solving -7 + 16x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 1 + 7 16x = 1 + 7 Combine like terms: 1 + 7 = 8 16x = 8 Divide each side by '16'. x = 0.5 Simplifying x = 0.5
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