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Simplifying 5(2x + -3) + -3(x + 5) = 0 Reorder the terms: 5(-3 + 2x) + -3(x + 5) = 0 (-3 * 5 + 2x * 5) + -3(x + 5) = 0 (-15 + 10x) + -3(x + 5) = 0 Reorder the terms: -15 + 10x + -3(5 + x) = 0 -15 + 10x + (5 * -3 + x * -3) = 0 -15 + 10x + (-15 + -3x) = 0 Reorder the terms: -15 + -15 + 10x + -3x = 0 Combine like terms: -15 + -15 = -30 -30 + 10x + -3x = 0 Combine like terms: 10x + -3x = 7x -30 + 7x = 0 Solving -30 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 7x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 7x = 0 + 30 7x = 0 + 30 Combine like terms: 0 + 30 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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