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Simplifying 0.5(x + 3.2) + -1x = 0.6x + 0.5 Reorder the terms: 0.5(3.2 + x) + -1x = 0.6x + 0.5 (3.2 * 0.5 + x * 0.5) + -1x = 0.6x + 0.5 (1.6 + 0.5x) + -1x = 0.6x + 0.5 Combine like terms: 0.5x + -1x = -0.5x 1.6 + -0.5x = 0.6x + 0.5 Reorder the terms: 1.6 + -0.5x = 0.5 + 0.6x Solving 1.6 + -0.5x = 0.5 + 0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6x' to each side of the equation. 1.6 + -0.5x + -0.6x = 0.5 + 0.6x + -0.6x Combine like terms: -0.5x + -0.6x = -1.1x 1.6 + -1.1x = 0.5 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1.6 + -1.1x = 0.5 + 0.0 1.6 + -1.1x = 0.5 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -1.1x = 0.5 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -1.1x = 0.5 + -1.6 -1.1x = 0.5 + -1.6 Combine like terms: 0.5 + -1.6 = -1.1 -1.1x = -1.1 Divide each side by '-1.1'. x = 1 Simplifying x = 1
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