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Simplifying 0.5x + 4.56 = -0.14x + 2.56 Reorder the terms: 4.56 + 0.5x = -0.14x + 2.56 Reorder the terms: 4.56 + 0.5x = 2.56 + -0.14x Solving 4.56 + 0.5x = 2.56 + -0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.14x' to each side of the equation. 4.56 + 0.5x + 0.14x = 2.56 + -0.14x + 0.14x Combine like terms: 0.5x + 0.14x = 0.64x 4.56 + 0.64x = 2.56 + -0.14x + 0.14x Combine like terms: -0.14x + 0.14x = 0.00 4.56 + 0.64x = 2.56 + 0.00 4.56 + 0.64x = 2.56 Add '-4.56' to each side of the equation. 4.56 + -4.56 + 0.64x = 2.56 + -4.56 Combine like terms: 4.56 + -4.56 = 0.00 0.00 + 0.64x = 2.56 + -4.56 0.64x = 2.56 + -4.56 Combine like terms: 2.56 + -4.56 = -2 0.64x = -2 Divide each side by '0.64'. x = -3.125 Simplifying x = -3.125
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