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Simplifying 9(x + 5) = 4x + 10 Reorder the terms: 9(5 + x) = 4x + 10 (5 * 9 + x * 9) = 4x + 10 (45 + 9x) = 4x + 10 Reorder the terms: 45 + 9x = 10 + 4x Solving 45 + 9x = 10 + 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 + 9x + -4x = 10 + 4x + -4x Combine like terms: 9x + -4x = 5x 45 + 5x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + 5x = 10 + 0 45 + 5x = 10 Add '-45' to each side of the equation. 45 + -45 + 5x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 10 + -45 5x = 10 + -45 Combine like terms: 10 + -45 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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