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Simplifying 0.8 + 0.2(5) = 0.3(x + 5) Multiply 0.2 * 5 0.8 + 1 = 0.3(x + 5) Combine like terms: 0.8 + 1 = 1.8 1.8 = 0.3(x + 5) Reorder the terms: 1.8 = 0.3(5 + x) 1.8 = (5 * 0.3 + x * 0.3) 1.8 = (1.5 + 0.3x) Solving 1.8 = 1.5 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 1.8 + -0.3x = 1.5 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 1.8 + -0.3x = 1.5 + 0.0 1.8 + -0.3x = 1.5 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.3x = 1.5 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.3x = 1.5 + -1.8 -0.3x = 1.5 + -1.8 Combine like terms: 1.5 + -1.8 = -0.3 -0.3x = -0.3 Divide each side by '-0.3'. x = 1 Simplifying x = 1
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