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Simplifying 5(4x + 9) = 8 + 2x Reorder the terms: 5(9 + 4x) = 8 + 2x (9 * 5 + 4x * 5) = 8 + 2x (45 + 20x) = 8 + 2x Solving 45 + 20x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 45 + 20x + -2x = 8 + 2x + -2x Combine like terms: 20x + -2x = 18x 45 + 18x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 45 + 18x = 8 + 0 45 + 18x = 8 Add '-45' to each side of the equation. 45 + -45 + 18x = 8 + -45 Combine like terms: 45 + -45 = 0 0 + 18x = 8 + -45 18x = 8 + -45 Combine like terms: 8 + -45 = -37 18x = -37 Divide each side by '18'. x = -2.055555556 Simplifying x = -2.055555556
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