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Simplifying 2.25(3x + -4) = -5x + 7 Reorder the terms: 2.25(-4 + 3x) = -5x + 7 (-4 * 2.25 + 3x * 2.25) = -5x + 7 (-9 + 6.75x) = -5x + 7 Reorder the terms: -9 + 6.75x = 7 + -5x Solving -9 + 6.75x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -9 + 6.75x + 5x = 7 + -5x + 5x Combine like terms: 6.75x + 5x = 11.75x -9 + 11.75x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 -9 + 11.75x = 7 + 0 -9 + 11.75x = 7 Add '9' to each side of the equation. -9 + 9 + 11.75x = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 11.75x = 7 + 9 11.75x = 7 + 9 Combine like terms: 7 + 9 = 16 11.75x = 16 Divide each side by '11.75'. x = 1.361702128 Simplifying x = 1.361702128
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