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Simplifying -0.5x + 2.74 = -0.1x + 4.74 Reorder the terms: 2.74 + -0.5x = -0.1x + 4.74 Reorder the terms: 2.74 + -0.5x = 4.74 + -0.1x Solving 2.74 + -0.5x = 4.74 + -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. 2.74 + -0.5x + 0.1x = 4.74 + -0.1x + 0.1x Combine like terms: -0.5x + 0.1x = -0.4x 2.74 + -0.4x = 4.74 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 2.74 + -0.4x = 4.74 + 0.0 2.74 + -0.4x = 4.74 Add '-2.74' to each side of the equation. 2.74 + -2.74 + -0.4x = 4.74 + -2.74 Combine like terms: 2.74 + -2.74 = 0.00 0.00 + -0.4x = 4.74 + -2.74 -0.4x = 4.74 + -2.74 Combine like terms: 4.74 + -2.74 = 2 -0.4x = 2 Divide each side by '-0.4'. x = -5 Simplifying x = -5
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