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Simplifying 5(2x + -1) = 3(x + -2) Reorder the terms: 5(-1 + 2x) = 3(x + -2) (-1 * 5 + 2x * 5) = 3(x + -2) (-5 + 10x) = 3(x + -2) Reorder the terms: -5 + 10x = 3(-2 + x) -5 + 10x = (-2 * 3 + x * 3) -5 + 10x = (-6 + 3x) Solving -5 + 10x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 10x + -3x = -6 + 3x + -3x Combine like terms: 10x + -3x = 7x -5 + 7x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 7x = -6 + 0 -5 + 7x = -6 Add '5' to each side of the equation. -5 + 5 + 7x = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = -6 + 5 7x = -6 + 5 Combine like terms: -6 + 5 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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