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Simplifying 12.75x + -15.35 = 3.124(2x + 3) Reorder the terms: -15.35 + 12.75x = 3.124(2x + 3) Reorder the terms: -15.35 + 12.75x = 3.124(3 + 2x) -15.35 + 12.75x = (3 * 3.124 + 2x * 3.124) -15.35 + 12.75x = (9.372 + 6.248x) Solving -15.35 + 12.75x = 9.372 + 6.248x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.248x' to each side of the equation. -15.35 + 12.75x + -6.248x = 9.372 + 6.248x + -6.248x Combine like terms: 12.75x + -6.248x = 6.502x -15.35 + 6.502x = 9.372 + 6.248x + -6.248x Combine like terms: 6.248x + -6.248x = 0.000 -15.35 + 6.502x = 9.372 + 0.000 -15.35 + 6.502x = 9.372 Add '15.35' to each side of the equation. -15.35 + 15.35 + 6.502x = 9.372 + 15.35 Combine like terms: -15.35 + 15.35 = 0.00 0.00 + 6.502x = 9.372 + 15.35 6.502x = 9.372 + 15.35 Combine like terms: 9.372 + 15.35 = 24.722 6.502x = 24.722 Divide each side by '6.502'. x = 3.802214703 Simplifying x = 3.802214703
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