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Simplifying -0.9x + 2.65 = -0.5x + 5.45 Reorder the terms: 2.65 + -0.9x = -0.5x + 5.45 Reorder the terms: 2.65 + -0.9x = 5.45 + -0.5x Solving 2.65 + -0.9x = 5.45 + -0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5x' to each side of the equation. 2.65 + -0.9x + 0.5x = 5.45 + -0.5x + 0.5x Combine like terms: -0.9x + 0.5x = -0.4x 2.65 + -0.4x = 5.45 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 2.65 + -0.4x = 5.45 + 0.0 2.65 + -0.4x = 5.45 Add '-2.65' to each side of the equation. 2.65 + -2.65 + -0.4x = 5.45 + -2.65 Combine like terms: 2.65 + -2.65 = 0.00 0.00 + -0.4x = 5.45 + -2.65 -0.4x = 5.45 + -2.65 Combine like terms: 5.45 + -2.65 = 2.8 -0.4x = 2.8 Divide each side by '-0.4'. x = -7 Simplifying x = -7
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