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Simplifying 0.30(6) + 0.5x = 0.15(24 + x) Multiply 0.30 * 6 1.8 + 0.5x = 0.15(24 + x) 1.8 + 0.5x = (24 * 0.15 + x * 0.15) 1.8 + 0.5x = (3.6 + 0.15x) Solving 1.8 + 0.5x = 3.6 + 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. 1.8 + 0.5x + -0.15x = 3.6 + 0.15x + -0.15x Combine like terms: 0.5x + -0.15x = 0.35x 1.8 + 0.35x = 3.6 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 1.8 + 0.35x = 3.6 + 0.00 1.8 + 0.35x = 3.6 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.35x = 3.6 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.35x = 3.6 + -1.8 0.35x = 3.6 + -1.8 Combine like terms: 3.6 + -1.8 = 1.8 0.35x = 1.8 Divide each side by '0.35'. x = 5.142857143 Simplifying x = 5.142857143
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