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Simplifying 3(x + -2) + -2(5x + -1) = 1 Reorder the terms: 3(-2 + x) + -2(5x + -1) = 1 (-2 * 3 + x * 3) + -2(5x + -1) = 1 (-6 + 3x) + -2(5x + -1) = 1 Reorder the terms: -6 + 3x + -2(-1 + 5x) = 1 -6 + 3x + (-1 * -2 + 5x * -2) = 1 -6 + 3x + (2 + -10x) = 1 Reorder the terms: -6 + 2 + 3x + -10x = 1 Combine like terms: -6 + 2 = -4 -4 + 3x + -10x = 1 Combine like terms: 3x + -10x = -7x -4 + -7x = 1 Solving -4 + -7x = 1 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 + -7x = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 1 + 4 -7x = 1 + 4 Combine like terms: 1 + 4 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143
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