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Simplifying 5(x + 3) + -6(x + 5) = 0 Reorder the terms: 5(3 + x) + -6(x + 5) = 0 (3 * 5 + x * 5) + -6(x + 5) = 0 (15 + 5x) + -6(x + 5) = 0 Reorder the terms: 15 + 5x + -6(5 + x) = 0 15 + 5x + (5 * -6 + x * -6) = 0 15 + 5x + (-30 + -6x) = 0 Reorder the terms: 15 + -30 + 5x + -6x = 0 Combine like terms: 15 + -30 = -15 -15 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x -15 + -1x = 0 Solving -15 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15
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