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Simplifying 3x + 7(3.5 + -0.25x) = 22 3x + (3.5 * 7 + -0.25x * 7) = 22 3x + (24.5 + -1.75x) = 22 Reorder the terms: 24.5 + 3x + -1.75x = 22 Combine like terms: 3x + -1.75x = 1.25x 24.5 + 1.25x = 22 Solving 24.5 + 1.25x = 22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24.5' to each side of the equation. 24.5 + -24.5 + 1.25x = 22 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + 1.25x = 22 + -24.5 1.25x = 22 + -24.5 Combine like terms: 22 + -24.5 = -2.5 1.25x = -2.5 Divide each side by '1.25'. x = -2 Simplifying x = -2
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