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Simplifying 3.5x + -9 + x + -11 = 4x + 13 Reorder the terms: -9 + -11 + 3.5x + x = 4x + 13 Combine like terms: -9 + -11 = -20 -20 + 3.5x + x = 4x + 13 Combine like terms: 3.5x + x = 4.5x -20 + 4.5x = 4x + 13 Reorder the terms: -20 + 4.5x = 13 + 4x Solving -20 + 4.5x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -20 + 4.5x + -4x = 13 + 4x + -4x Combine like terms: 4.5x + -4x = 0.5x -20 + 0.5x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 0.5x = 13 + 0 -20 + 0.5x = 13 Add '20' to each side of the equation. -20 + 20 + 0.5x = 13 + 20 Combine like terms: -20 + 20 = 0 0 + 0.5x = 13 + 20 0.5x = 13 + 20 Combine like terms: 13 + 20 = 33 0.5x = 33 Divide each side by '0.5'. x = 66 Simplifying x = 66
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