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Simplifying 8(x + 5) + -1(3x + -2) = 6 Reorder the terms: 8(5 + x) + -1(3x + -2) = 6 (5 * 8 + x * 8) + -1(3x + -2) = 6 (40 + 8x) + -1(3x + -2) = 6 Reorder the terms: 40 + 8x + -1(-2 + 3x) = 6 40 + 8x + (-2 * -1 + 3x * -1) = 6 40 + 8x + (2 + -3x) = 6 Reorder the terms: 40 + 2 + 8x + -3x = 6 Combine like terms: 40 + 2 = 42 42 + 8x + -3x = 6 Combine like terms: 8x + -3x = 5x 42 + 5x = 6 Solving 42 + 5x = 6 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 + 5x = 6 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 6 + -42 5x = 6 + -42 Combine like terms: 6 + -42 = -36 5x = -36 Divide each side by '5'. x = -7.2 Simplifying x = -7.2
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