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Simplifying 0.7x + 0.5(x + -1) = 0.2x + 5.5 Reorder the terms: 0.7x + 0.5(-1 + x) = 0.2x + 5.5 0.7x + (-1 * 0.5 + x * 0.5) = 0.2x + 5.5 0.7x + (-0.5 + 0.5x) = 0.2x + 5.5 Reorder the terms: -0.5 + 0.7x + 0.5x = 0.2x + 5.5 Combine like terms: 0.7x + 0.5x = 1.2x -0.5 + 1.2x = 0.2x + 5.5 Reorder the terms: -0.5 + 1.2x = 5.5 + 0.2x Solving -0.5 + 1.2x = 5.5 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.5 + 1.2x + -0.2x = 5.5 + 0.2x + -0.2x Combine like terms: 1.2x + -0.2x = 1x -0.5 + 1x = 5.5 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.5 + 1x = 5.5 + 0.0 -0.5 + 1x = 5.5 Add '0.5' to each side of the equation. -0.5 + 0.5 + 1x = 5.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 1x = 5.5 + 0.5 1x = 5.5 + 0.5 Combine like terms: 5.5 + 0.5 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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