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Simplifying 0.30(24) + 0.05x = 0.15(6 + x) Multiply 0.30 * 24 7.2 + 0.05x = 0.15(6 + x) 7.2 + 0.05x = (6 * 0.15 + x * 0.15) 7.2 + 0.05x = (0.9 + 0.15x) Solving 7.2 + 0.05x = 0.9 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 7.2 + 0.05x + -0.15x = 0.9 + 0.15x + -0.15x Combine like terms: 0.05x + -0.15x = -0.1x 7.2 + -0.1x = 0.9 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 7.2 + -0.1x = 0.9 + 0.00 7.2 + -0.1x = 0.9 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -0.1x = 0.9 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.1x = 0.9 + -7.2 -0.1x = 0.9 + -7.2 Combine like terms: 0.9 + -7.2 = -6.3 -0.1x = -6.3 Divide each side by '-0.1'. x = 63 Simplifying x = 63
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