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Simplifying 5(3x + -2) + -2(x + -2) = 0 Reorder the terms: 5(-2 + 3x) + -2(x + -2) = 0 (-2 * 5 + 3x * 5) + -2(x + -2) = 0 (-10 + 15x) + -2(x + -2) = 0 Reorder the terms: -10 + 15x + -2(-2 + x) = 0 -10 + 15x + (-2 * -2 + x * -2) = 0 -10 + 15x + (4 + -2x) = 0 Reorder the terms: -10 + 4 + 15x + -2x = 0 Combine like terms: -10 + 4 = -6 -6 + 15x + -2x = 0 Combine like terms: 15x + -2x = 13x -6 + 13x = 0 Solving -6 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 13x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 13x = 0 + 6 13x = 0 + 6 Combine like terms: 0 + 6 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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