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Simplifying 0.9x + 2.295 + -2.1x = 5.445 + 0.7x + 2.6x Reorder the terms: 2.295 + 0.9x + -2.1x = 5.445 + 0.7x + 2.6x Combine like terms: 0.9x + -2.1x = -1.2x 2.295 + -1.2x = 5.445 + 0.7x + 2.6x Combine like terms: 0.7x + 2.6x = 3.3x 2.295 + -1.2x = 5.445 + 3.3x Solving 2.295 + -1.2x = 5.445 + 3.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.3x' to each side of the equation. 2.295 + -1.2x + -3.3x = 5.445 + 3.3x + -3.3x Combine like terms: -1.2x + -3.3x = -4.5x 2.295 + -4.5x = 5.445 + 3.3x + -3.3x Combine like terms: 3.3x + -3.3x = 0.0 2.295 + -4.5x = 5.445 + 0.0 2.295 + -4.5x = 5.445 Add '-2.295' to each side of the equation. 2.295 + -2.295 + -4.5x = 5.445 + -2.295 Combine like terms: 2.295 + -2.295 = 0.000 0.000 + -4.5x = 5.445 + -2.295 -4.5x = 5.445 + -2.295 Combine like terms: 5.445 + -2.295 = 3.15 -4.5x = 3.15 Divide each side by '-4.5'. x = -0.7 Simplifying x = -0.7
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