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Simplifying 8(3x + 5) + -1(7x + -2) = 8 Reorder the terms: 8(5 + 3x) + -1(7x + -2) = 8 (5 * 8 + 3x * 8) + -1(7x + -2) = 8 (40 + 24x) + -1(7x + -2) = 8 Reorder the terms: 40 + 24x + -1(-2 + 7x) = 8 40 + 24x + (-2 * -1 + 7x * -1) = 8 40 + 24x + (2 + -7x) = 8 Reorder the terms: 40 + 2 + 24x + -7x = 8 Combine like terms: 40 + 2 = 42 42 + 24x + -7x = 8 Combine like terms: 24x + -7x = 17x 42 + 17x = 8 Solving 42 + 17x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 17x = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 17x = 8 + -42 17x = 8 + -42 Combine like terms: 8 + -42 = -34 17x = -34 Divide each side by '17'. x = -2 Simplifying x = -2
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