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