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Simplifying 2(4x + 3) + -1(x + -5) = -3 Reorder the terms: 2(3 + 4x) + -1(x + -5) = -3 (3 * 2 + 4x * 2) + -1(x + -5) = -3 (6 + 8x) + -1(x + -5) = -3 Reorder the terms: 6 + 8x + -1(-5 + x) = -3 6 + 8x + (-5 * -1 + x * -1) = -3 6 + 8x + (5 + -1x) = -3 Reorder the terms: 6 + 5 + 8x + -1x = -3 Combine like terms: 6 + 5 = 11 11 + 8x + -1x = -3 Combine like terms: 8x + -1x = 7x 11 + 7x = -3 Solving 11 + 7x = -3 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 + 7x = -3 + -11 Combine like terms: 11 + -11 = 0 0 + 7x = -3 + -11 7x = -3 + -11 Combine like terms: -3 + -11 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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