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Simplifying 8 + -5(5 + 4x) = -24x + -7 8 + (5 * -5 + 4x * -5) = -24x + -7 8 + (-25 + -20x) = -24x + -7 Combine like terms: 8 + -25 = -17 -17 + -20x = -24x + -7 Reorder the terms: -17 + -20x = -7 + -24x Solving -17 + -20x = -7 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -17 + -20x + 24x = -7 + -24x + 24x Combine like terms: -20x + 24x = 4x -17 + 4x = -7 + -24x + 24x Combine like terms: -24x + 24x = 0 -17 + 4x = -7 + 0 -17 + 4x = -7 Add '17' to each side of the equation. -17 + 17 + 4x = -7 + 17 Combine like terms: -17 + 17 = 0 0 + 4x = -7 + 17 4x = -7 + 17 Combine like terms: -7 + 17 = 10 4x = 10 Divide each side by '4'. x = 2.5 Simplifying x = 2.5
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