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Simplifying -5 + 3(x + 5) + -1(5x + 1) = -3 Reorder the terms: -5 + 3(5 + x) + -1(5x + 1) = -3 -5 + (5 * 3 + x * 3) + -1(5x + 1) = -3 -5 + (15 + 3x) + -1(5x + 1) = -3 Reorder the terms: -5 + 15 + 3x + -1(1 + 5x) = -3 -5 + 15 + 3x + (1 * -1 + 5x * -1) = -3 -5 + 15 + 3x + (-1 + -5x) = -3 Reorder the terms: -5 + 15 + -1 + 3x + -5x = -3 Combine like terms: -5 + 15 = 10 10 + -1 + 3x + -5x = -3 Combine like terms: 10 + -1 = 9 9 + 3x + -5x = -3 Combine like terms: 3x + -5x = -2x 9 + -2x = -3 Solving 9 + -2x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = -3 + -9 -2x = -3 + -9 Combine like terms: -3 + -9 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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