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Simplifying 5(2x + 3) + -1(x + -4) = 0 Reorder the terms: 5(3 + 2x) + -1(x + -4) = 0 (3 * 5 + 2x * 5) + -1(x + -4) = 0 (15 + 10x) + -1(x + -4) = 0 Reorder the terms: 15 + 10x + -1(-4 + x) = 0 15 + 10x + (-4 * -1 + x * -1) = 0 15 + 10x + (4 + -1x) = 0 Reorder the terms: 15 + 4 + 10x + -1x = 0 Combine like terms: 15 + 4 = 19 19 + 10x + -1x = 0 Combine like terms: 10x + -1x = 9x 19 + 9x = 0 Solving 19 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 9x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 9x = 0 + -19 9x = 0 + -19 Combine like terms: 0 + -19 = -19 9x = -19 Divide each side by '9'. x = -2.111111111 Simplifying x = -2.111111111
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