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Simplifying 5(2x + 3) + -1(x + 4) = -1 Reorder the terms: 5(3 + 2x) + -1(x + 4) = -1 (3 * 5 + 2x * 5) + -1(x + 4) = -1 (15 + 10x) + -1(x + 4) = -1 Reorder the terms: 15 + 10x + -1(4 + x) = -1 15 + 10x + (4 * -1 + x * -1) = -1 15 + 10x + (-4 + -1x) = -1 Reorder the terms: 15 + -4 + 10x + -1x = -1 Combine like terms: 15 + -4 = 11 11 + 10x + -1x = -1 Combine like terms: 10x + -1x = 9x 11 + 9x = -1 Solving 11 + 9x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9x = -1 + -11 Combine like terms: 11 + -11 = 0 0 + 9x = -1 + -11 9x = -1 + -11 Combine like terms: -1 + -11 = -12 9x = -12 Divide each side by '9'. x = -1.333333333 Simplifying x = -1.333333333
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