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Simplifying -0.5x + 4.56 = -0.1x + 2.56 Reorder the terms: 4.56 + -0.5x = -0.1x + 2.56 Reorder the terms: 4.56 + -0.5x = 2.56 + -0.1x Solving 4.56 + -0.5x = 2.56 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 4.56 + -0.5x + 0.1x = 2.56 + -0.1x + 0.1x Combine like terms: -0.5x + 0.1x = -0.4x 4.56 + -0.4x = 2.56 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 4.56 + -0.4x = 2.56 + 0.0 4.56 + -0.4x = 2.56 Add '-4.56' to each side of the equation. 4.56 + -4.56 + -0.4x = 2.56 + -4.56 Combine like terms: 4.56 + -4.56 = 0.00 0.00 + -0.4x = 2.56 + -4.56 -0.4x = 2.56 + -4.56 Combine like terms: 2.56 + -4.56 = -2 -0.4x = -2 Divide each side by '-0.4'. x = 5 Simplifying x = 5
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