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Simplifying 2(2x + -5) + 5(-3x + 1) = 0 Reorder the terms: 2(-5 + 2x) + 5(-3x + 1) = 0 (-5 * 2 + 2x * 2) + 5(-3x + 1) = 0 (-10 + 4x) + 5(-3x + 1) = 0 Reorder the terms: -10 + 4x + 5(1 + -3x) = 0 -10 + 4x + (1 * 5 + -3x * 5) = 0 -10 + 4x + (5 + -15x) = 0 Reorder the terms: -10 + 5 + 4x + -15x = 0 Combine like terms: -10 + 5 = -5 -5 + 4x + -15x = 0 Combine like terms: 4x + -15x = -11x -5 + -11x = 0 Solving -5 + -11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -11x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 0 + 5 -11x = 0 + 5 Combine like terms: 0 + 5 = 5 -11x = 5 Divide each side by '-11'. x = -0.4545454545 Simplifying x = -0.4545454545
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