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Simplifying 0.6 + 0.2(10) = 0.4(x + 30) Multiply 0.2 * 10 0.6 + 2 = 0.4(x + 30) Combine like terms: 0.6 + 2 = 2.6 2.6 = 0.4(x + 30) Reorder the terms: 2.6 = 0.4(30 + x) 2.6 = (30 * 0.4 + x * 0.4) 2.6 = (12 + 0.4x) Solving 2.6 = 12 + 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. 2.6 + -0.4x = 12 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 2.6 + -0.4x = 12 + 0.0 2.6 + -0.4x = 12 Add '-2.6' to each side of the equation. 2.6 + -2.6 + -0.4x = 12 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -0.4x = 12 + -2.6 -0.4x = 12 + -2.6 Combine like terms: 12 + -2.6 = 9.4 -0.4x = 9.4 Divide each side by '-0.4'. x = -23.5 Simplifying x = -23.5
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