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Simplifying 8(x + 5) + -1(3x + -8) = 8 Reorder the terms: 8(5 + x) + -1(3x + -8) = 8 (5 * 8 + x * 8) + -1(3x + -8) = 8 (40 + 8x) + -1(3x + -8) = 8 Reorder the terms: 40 + 8x + -1(-8 + 3x) = 8 40 + 8x + (-8 * -1 + 3x * -1) = 8 40 + 8x + (8 + -3x) = 8 Reorder the terms: 40 + 8 + 8x + -3x = 8 Combine like terms: 40 + 8 = 48 48 + 8x + -3x = 8 Combine like terms: 8x + -3x = 5x 48 + 5x = 8 Solving 48 + 5x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 5x = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 5x = 8 + -48 5x = 8 + -48 Combine like terms: 8 + -48 = -40 5x = -40 Divide each side by '5'. x = -8 Simplifying x = -8
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