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Simplifying 3.5x + -7 = -1.5x + 22 Reorder the terms: -7 + 3.5x = -1.5x + 22 Reorder the terms: -7 + 3.5x = 22 + -1.5x Solving -7 + 3.5x = 22 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -7 + 3.5x + 1.5x = 22 + -1.5x + 1.5x Combine like terms: 3.5x + 1.5x = 5x -7 + 5x = 22 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -7 + 5x = 22 + 0.0 -7 + 5x = 22 Add '7' to each side of the equation. -7 + 7 + 5x = 22 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 22 + 7 5x = 22 + 7 Combine like terms: 22 + 7 = 29 5x = 29 Divide each side by '5'. x = 5.8 Simplifying x = 5.8
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