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Simplifying 14 + -0.2(x + -10) = 0.4(25 + x) Reorder the terms: 14 + -0.2(-10 + x) = 0.4(25 + x) 14 + (-10 * -0.2 + x * -0.2) = 0.4(25 + x) 14 + (2 + -0.2x) = 0.4(25 + x) Combine like terms: 14 + 2 = 16 16 + -0.2x = 0.4(25 + x) 16 + -0.2x = (25 * 0.4 + x * 0.4) 16 + -0.2x = (10 + 0.4x) Solving 16 + -0.2x = 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. 16 + -0.2x + -0.4x = 10 + 0.4x + -0.4x Combine like terms: -0.2x + -0.4x = -0.6x 16 + -0.6x = 10 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 16 + -0.6x = 10 + 0.0 16 + -0.6x = 10 Add '-16' to each side of the equation. 16 + -16 + -0.6x = 10 + -16 Combine like terms: 16 + -16 = 0 0 + -0.6x = 10 + -16 -0.6x = 10 + -16 Combine like terms: 10 + -16 = -6 -0.6x = -6 Divide each side by '-0.6'. x = 10 Simplifying x = 10
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