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Simplifying 14 = 0.6x + -1(10 + 0.2x) 14 = 0.6x + (10 * -1 + 0.2x * -1) 14 = 0.6x + (-10 + -0.2x) Reorder the terms: 14 = -10 + 0.6x + -0.2x Combine like terms: 0.6x + -0.2x = 0.4x 14 = -10 + 0.4x Solving 14 = -10 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 14 + -0.4x = -10 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 14 + -0.4x = -10 + 0.0 14 + -0.4x = -10 Add '-14' to each side of the equation. 14 + -14 + -0.4x = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -0.4x = -10 + -14 -0.4x = -10 + -14 Combine like terms: -10 + -14 = -24 -0.4x = -24 Divide each side by '-0.4'. x = 60 Simplifying x = 60
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