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Simplifying 8(x + 5) + -4(x + 4) = 5 Reorder the terms: 8(5 + x) + -4(x + 4) = 5 (5 * 8 + x * 8) + -4(x + 4) = 5 (40 + 8x) + -4(x + 4) = 5 Reorder the terms: 40 + 8x + -4(4 + x) = 5 40 + 8x + (4 * -4 + x * -4) = 5 40 + 8x + (-16 + -4x) = 5 Reorder the terms: 40 + -16 + 8x + -4x = 5 Combine like terms: 40 + -16 = 24 24 + 8x + -4x = 5 Combine like terms: 8x + -4x = 4x 24 + 4x = 5 Solving 24 + 4x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4x = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 5 + -24 4x = 5 + -24 Combine like terms: 5 + -24 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75
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