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Simplifying 5(9 + 2x) = 4x + 9 (9 * 5 + 2x * 5) = 4x + 9 (45 + 10x) = 4x + 9 Reorder the terms: 45 + 10x = 9 + 4x Solving 45 + 10x = 9 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + 10x + -4x = 9 + 4x + -4x Combine like terms: 10x + -4x = 6x 45 + 6x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + 6x = 9 + 0 45 + 6x = 9 Add '-45' to each side of the equation. 45 + -45 + 6x = 9 + -45 Combine like terms: 45 + -45 = 0 0 + 6x = 9 + -45 6x = 9 + -45 Combine like terms: 9 + -45 = -36 6x = -36 Divide each side by '6'. x = -6 Simplifying x = -6
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