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Simplifying 0.9(5x + 10) = 103(x + 2) Reorder the terms: 0.9(10 + 5x) = 103(x + 2) (10 * 0.9 + 5x * 0.9) = 103(x + 2) (9 + 4.5x) = 103(x + 2) Reorder the terms: 9 + 4.5x = 103(2 + x) 9 + 4.5x = (2 * 103 + x * 103) 9 + 4.5x = (206 + 103x) Solving 9 + 4.5x = 206 + 103x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-103x' to each side of the equation. 9 + 4.5x + -103x = 206 + 103x + -103x Combine like terms: 4.5x + -103x = -98.5x 9 + -98.5x = 206 + 103x + -103x Combine like terms: 103x + -103x = 0 9 + -98.5x = 206 + 0 9 + -98.5x = 206 Add '-9' to each side of the equation. 9 + -9 + -98.5x = 206 + -9 Combine like terms: 9 + -9 = 0 0 + -98.5x = 206 + -9 -98.5x = 206 + -9 Combine like terms: 206 + -9 = 197 -98.5x = 197 Divide each side by '-98.5'. x = -2 Simplifying x = -2
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