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Simplifying 0.6(x + 7) + -0.5x = 18 Reorder the terms: 0.6(7 + x) + -0.5x = 18 (7 * 0.6 + x * 0.6) + -0.5x = 18 (4.2 + 0.6x) + -0.5x = 18 Combine like terms: 0.6x + -0.5x = 0.1x 4.2 + 0.1x = 18 Solving 4.2 + 0.1x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.1x = 18 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.1x = 18 + -4.2 0.1x = 18 + -4.2 Combine like terms: 18 + -4.2 = 13.8 0.1x = 13.8 Divide each side by '0.1'. x = 138 Simplifying x = 138
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