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Simplifying 3.5x + 3 = 4.75x + -12 Reorder the terms: 3 + 3.5x = 4.75x + -12 Reorder the terms: 3 + 3.5x = -12 + 4.75x Solving 3 + 3.5x = -12 + 4.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.75x' to each side of the equation. 3 + 3.5x + -4.75x = -12 + 4.75x + -4.75x Combine like terms: 3.5x + -4.75x = -1.25x 3 + -1.25x = -12 + 4.75x + -4.75x Combine like terms: 4.75x + -4.75x = 0.00 3 + -1.25x = -12 + 0.00 3 + -1.25x = -12 Add '-3' to each side of the equation. 3 + -3 + -1.25x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -1.25x = -12 + -3 -1.25x = -12 + -3 Combine like terms: -12 + -3 = -15 -1.25x = -15 Divide each side by '-1.25'. x = 12 Simplifying x = 12
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