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Simplifying 0.30(12) + 0.5x = 0.15(18 + x) Multiply 0.30 * 12 3.6 + 0.5x = 0.15(18 + x) 3.6 + 0.5x = (18 * 0.15 + x * 0.15) 3.6 + 0.5x = (2.7 + 0.15x) Solving 3.6 + 0.5x = 2.7 + 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. 3.6 + 0.5x + -0.15x = 2.7 + 0.15x + -0.15x Combine like terms: 0.5x + -0.15x = 0.35x 3.6 + 0.35x = 2.7 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 3.6 + 0.35x = 2.7 + 0.00 3.6 + 0.35x = 2.7 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.35x = 2.7 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.35x = 2.7 + -3.6 0.35x = 2.7 + -3.6 Combine like terms: 2.7 + -3.6 = -0.9 0.35x = -0.9 Divide each side by '0.35'. x = -2.571428571 Simplifying x = -2.571428571
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