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Simplifying 0.3(x + 5) = 5(0.1 + 0.11x) Reorder the terms: 0.3(5 + x) = 5(0.1 + 0.11x) (5 * 0.3 + x * 0.3) = 5(0.1 + 0.11x) (1.5 + 0.3x) = 5(0.1 + 0.11x) 1.5 + 0.3x = (0.1 * 5 + 0.11x * 5) 1.5 + 0.3x = (0.5 + 0.55x) Solving 1.5 + 0.3x = 0.5 + 0.55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.55x' to each side of the equation. 1.5 + 0.3x + -0.55x = 0.5 + 0.55x + -0.55x Combine like terms: 0.3x + -0.55x = -0.25x 1.5 + -0.25x = 0.5 + 0.55x + -0.55x Combine like terms: 0.55x + -0.55x = 0.00 1.5 + -0.25x = 0.5 + 0.00 1.5 + -0.25x = 0.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.25x = 0.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.25x = 0.5 + -1.5 -0.25x = 0.5 + -1.5 Combine like terms: 0.5 + -1.5 = -1 -0.25x = -1 Divide each side by '-0.25'. x = 4 Simplifying x = 4
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