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Simplifying 0.5x + -0.5(2x + 5) = 0.6(x + 3) Reorder the terms: 0.5x + -0.5(5 + 2x) = 0.6(x + 3) 0.5x + (5 * -0.5 + 2x * -0.5) = 0.6(x + 3) 0.5x + (-2.5 + -1x) = 0.6(x + 3) Reorder the terms: -2.5 + 0.5x + -1x = 0.6(x + 3) Combine like terms: 0.5x + -1x = -0.5x -2.5 + -0.5x = 0.6(x + 3) Reorder the terms: -2.5 + -0.5x = 0.6(3 + x) -2.5 + -0.5x = (3 * 0.6 + x * 0.6) -2.5 + -0.5x = (1.8 + 0.6x) Solving -2.5 + -0.5x = 1.8 + 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. -2.5 + -0.5x + -0.6x = 1.8 + 0.6x + -0.6x Combine like terms: -0.5x + -0.6x = -1.1x -2.5 + -1.1x = 1.8 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 -2.5 + -1.1x = 1.8 + 0.0 -2.5 + -1.1x = 1.8 Add '2.5' to each side of the equation. -2.5 + 2.5 + -1.1x = 1.8 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -1.1x = 1.8 + 2.5 -1.1x = 1.8 + 2.5 Combine like terms: 1.8 + 2.5 = 4.3 -1.1x = 4.3 Divide each side by '-1.1'. x = -3.909090909 Simplifying x = -3.909090909
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