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Simplifying 5(2x + 3) + -1(x + 3) = 0 Reorder the terms: 5(3 + 2x) + -1(x + 3) = 0 (3 * 5 + 2x * 5) + -1(x + 3) = 0 (15 + 10x) + -1(x + 3) = 0 Reorder the terms: 15 + 10x + -1(3 + x) = 0 15 + 10x + (3 * -1 + x * -1) = 0 15 + 10x + (-3 + -1x) = 0 Reorder the terms: 15 + -3 + 10x + -1x = 0 Combine like terms: 15 + -3 = 12 12 + 10x + -1x = 0 Combine like terms: 10x + -1x = 9x 12 + 9x = 0 Solving 12 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 0 + -12 9x = 0 + -12 Combine like terms: 0 + -12 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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