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Simplifying 4(2.25x + 3.25) = 2(4.25x + 4.5) Reorder the terms: 4(3.25 + 2.25x) = 2(4.25x + 4.5) (3.25 * 4 + 2.25x * 4) = 2(4.25x + 4.5) (13 + 9x) = 2(4.25x + 4.5) Reorder the terms: 13 + 9x = 2(4.5 + 4.25x) 13 + 9x = (4.5 * 2 + 4.25x * 2) 13 + 9x = (9 + 8.5x) Solving 13 + 9x = 9 + 8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.5x' to each side of the equation. 13 + 9x + -8.5x = 9 + 8.5x + -8.5x Combine like terms: 9x + -8.5x = 0.5x 13 + 0.5x = 9 + 8.5x + -8.5x Combine like terms: 8.5x + -8.5x = 0.0 13 + 0.5x = 9 + 0.0 13 + 0.5x = 9 Add '-13' to each side of the equation. 13 + -13 + 0.5x = 9 + -13 Combine like terms: 13 + -13 = 0 0 + 0.5x = 9 + -13 0.5x = 9 + -13 Combine like terms: 9 + -13 = -4 0.5x = -4 Divide each side by '0.5'. x = -8 Simplifying x = -8
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