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Simplifying 3.5x + -7 = 12 + -0.5x Reorder the terms: -7 + 3.5x = 12 + -0.5x Solving -7 + 3.5x = 12 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. -7 + 3.5x + 0.5x = 12 + -0.5x + 0.5x Combine like terms: 3.5x + 0.5x = 4x -7 + 4x = 12 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -7 + 4x = 12 + 0.0 -7 + 4x = 12 Add '7' to each side of the equation. -7 + 7 + 4x = 12 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 12 + 7 4x = 12 + 7 Combine like terms: 12 + 7 = 19 4x = 19 Divide each side by '4'. x = 4.75 Simplifying x = 4.75
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