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Simplifying 0.5x + 2.7 = 0.4x + 1.5 Reorder the terms: 2.7 + 0.5x = 0.4x + 1.5 Reorder the terms: 2.7 + 0.5x = 1.5 + 0.4x Solving 2.7 + 0.5x = 1.5 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 2.7 + 0.5x + -0.4x = 1.5 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x 2.7 + 0.1x = 1.5 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2.7 + 0.1x = 1.5 + 0.0 2.7 + 0.1x = 1.5 Add '-2.7' to each side of the equation. 2.7 + -2.7 + 0.1x = 1.5 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 0.1x = 1.5 + -2.7 0.1x = 1.5 + -2.7 Combine like terms: 1.5 + -2.7 = -1.2 0.1x = -1.2 Divide each side by '0.1'. x = -12 Simplifying x = -12
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