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Simplifying 0.5(x + 2.8) + -1x = 0.6 + 0.3 Reorder the terms: 0.5(2.8 + x) + -1x = 0.6 + 0.3 (2.8 * 0.5 + x * 0.5) + -1x = 0.6 + 0.3 (1.4 + 0.5x) + -1x = 0.6 + 0.3 Combine like terms: 0.5x + -1x = -0.5x 1.4 + -0.5x = 0.6 + 0.3 Combine like terms: 0.6 + 0.3 = 0.9 1.4 + -0.5x = 0.9 Solving 1.4 + -0.5x = 0.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + -0.5x = 0.9 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -0.5x = 0.9 + -1.4 -0.5x = 0.9 + -1.4 Combine like terms: 0.9 + -1.4 = -0.5 -0.5x = -0.5 Divide each side by '-0.5'. x = 1 Simplifying x = 1
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