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Simplifying 0.5(x + 2) = 0.1 + 0.6(x + -3) Reorder the terms: 0.5(2 + x) = 0.1 + 0.6(x + -3) (2 * 0.5 + x * 0.5) = 0.1 + 0.6(x + -3) (1 + 0.5x) = 0.1 + 0.6(x + -3) Reorder the terms: 1 + 0.5x = 0.1 + 0.6(-3 + x) 1 + 0.5x = 0.1 + (-3 * 0.6 + x * 0.6) 1 + 0.5x = 0.1 + (-1.8 + 0.6x) Combine like terms: 0.1 + -1.8 = -1.7 1 + 0.5x = -1.7 + 0.6x Solving 1 + 0.5x = -1.7 + 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 + 0.5x + -0.6x = -1.7 + 0.6x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 1 + -0.1x = -1.7 + 0.6x + -0.6x Combine like terms: 0.6x + -0.6x = 0.0 1 + -0.1x = -1.7 + 0.0 1 + -0.1x = -1.7 Add '-1' to each side of the equation. 1 + -1 + -0.1x = -1.7 + -1 Combine like terms: 1 + -1 = 0 0 + -0.1x = -1.7 + -1 -0.1x = -1.7 + -1 Combine like terms: -1.7 + -1 = -2.7 -0.1x = -2.7 Divide each side by '-0.1'. x = 27 Simplifying x = 27
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