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Simplifying 5(2X + 3) + -4(X + -8) = 5 Reorder the terms: 5(3 + 2X) + -4(X + -8) = 5 (3 * 5 + 2X * 5) + -4(X + -8) = 5 (15 + 10X) + -4(X + -8) = 5 Reorder the terms: 15 + 10X + -4(-8 + X) = 5 15 + 10X + (-8 * -4 + X * -4) = 5 15 + 10X + (32 + -4X) = 5 Reorder the terms: 15 + 32 + 10X + -4X = 5 Combine like terms: 15 + 32 = 47 47 + 10X + -4X = 5 Combine like terms: 10X + -4X = 6X 47 + 6X = 5 Solving 47 + 6X = 5 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 + 6X = 5 + -47 Combine like terms: 47 + -47 = 0 0 + 6X = 5 + -47 6X = 5 + -47 Combine like terms: 5 + -47 = -42 6X = -42 Divide each side by '6'. X = -7 Simplifying X = -7
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