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Simplifying 8(x + 5) + -1(3x + -7) = 8 Reorder the terms: 8(5 + x) + -1(3x + -7) = 8 (5 * 8 + x * 8) + -1(3x + -7) = 8 (40 + 8x) + -1(3x + -7) = 8 Reorder the terms: 40 + 8x + -1(-7 + 3x) = 8 40 + 8x + (-7 * -1 + 3x * -1) = 8 40 + 8x + (7 + -3x) = 8 Reorder the terms: 40 + 7 + 8x + -3x = 8 Combine like terms: 40 + 7 = 47 47 + 8x + -3x = 8 Combine like terms: 8x + -3x = 5x 47 + 5x = 8 Solving 47 + 5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 5x = 8 + -47 Combine like terms: 47 + -47 = 0 0 + 5x = 8 + -47 5x = 8 + -47 Combine like terms: 8 + -47 = -39 5x = -39 Divide each side by '5'. x = -7.8 Simplifying x = -7.8
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