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Simplifying 3(30) + 0.15x = 0.2(30 + x) Multiply 3 * 30 90 + 0.15x = 0.2(30 + x) 90 + 0.15x = (30 * 0.2 + x * 0.2) 90 + 0.15x = (6 + 0.2x) Solving 90 + 0.15x = 6 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 90 + 0.15x + -0.2x = 6 + 0.2x + -0.2x Combine like terms: 0.15x + -0.2x = -0.05x 90 + -0.05x = 6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 90 + -0.05x = 6 + 0.0 90 + -0.05x = 6 Add '-90' to each side of the equation. 90 + -90 + -0.05x = 6 + -90 Combine like terms: 90 + -90 = 0 0 + -0.05x = 6 + -90 -0.05x = 6 + -90 Combine like terms: 6 + -90 = -84 -0.05x = -84 Divide each side by '-0.05'. x = 1680 Simplifying x = 1680
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