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Simplifying 6.21x + 3 + -4.5x + 1.45 = -3.5x + 6.2 + -2.8x + x Reorder the terms: 3 + 1.45 + 6.21x + -4.5x = -3.5x + 6.2 + -2.8x + x Combine like terms: 3 + 1.45 = 4.45 4.45 + 6.21x + -4.5x = -3.5x + 6.2 + -2.8x + x Combine like terms: 6.21x + -4.5x = 1.71x 4.45 + 1.71x = -3.5x + 6.2 + -2.8x + x Reorder the terms: 4.45 + 1.71x = 6.2 + -3.5x + -2.8x + x Combine like terms: -3.5x + -2.8x = -6.3x 4.45 + 1.71x = 6.2 + -6.3x + x Combine like terms: -6.3x + x = -5.3x 4.45 + 1.71x = 6.2 + -5.3x Solving 4.45 + 1.71x = 6.2 + -5.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.3x' to each side of the equation. 4.45 + 1.71x + 5.3x = 6.2 + -5.3x + 5.3x Combine like terms: 1.71x + 5.3x = 7.01x 4.45 + 7.01x = 6.2 + -5.3x + 5.3x Combine like terms: -5.3x + 5.3x = 0.0 4.45 + 7.01x = 6.2 + 0.0 4.45 + 7.01x = 6.2 Add '-4.45' to each side of the equation. 4.45 + -4.45 + 7.01x = 6.2 + -4.45 Combine like terms: 4.45 + -4.45 = 0.00 0.00 + 7.01x = 6.2 + -4.45 7.01x = 6.2 + -4.45 Combine like terms: 6.2 + -4.45 = 1.75 7.01x = 1.75 Divide each side by '7.01'. x = 0.2496433666 Simplifying x = 0.2496433666
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