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Simplifying 0.5(x + 2.8) + -1x = 0.6x + 0.3 Reorder the terms: 0.5(2.8 + x) + -1x = 0.6x + 0.3 (2.8 * 0.5 + x * 0.5) + -1x = 0.6x + 0.3 (1.4 + 0.5x) + -1x = 0.6x + 0.3 Combine like terms: 0.5x + -1x = -0.5x 1.4 + -0.5x = 0.6x + 0.3 Reorder the terms: 1.4 + -0.5x = 0.3 + 0.6x Solving 1.4 + -0.5x = 0.3 + 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. 1.4 + -0.5x + -0.6x = 0.3 + 0.6x + -0.6x Combine like terms: -0.5x + -0.6x = -1.1x 1.4 + -1.1x = 0.3 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1.4 + -1.1x = 0.3 + 0.0 1.4 + -1.1x = 0.3 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -1.1x = 0.3 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1.1x = 0.3 + -1.4 -1.1x = 0.3 + -1.4 Combine like terms: 0.3 + -1.4 = -1.1 -1.1x = -1.1 Divide each side by '-1.1'. x = 1 Simplifying x = 1
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