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Simplifying 0.45(12) + 0.5x = 0.15(6 + x) Multiply 0.45 * 12 5.4 + 0.5x = 0.15(6 + x) 5.4 + 0.5x = (6 * 0.15 + x * 0.15) 5.4 + 0.5x = (0.9 + 0.15x) Solving 5.4 + 0.5x = 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. 5.4 + 0.5x + -0.15x = 0.9 + 0.15x + -0.15x Combine like terms: 0.5x + -0.15x = 0.35x 5.4 + 0.35x = 0.9 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 5.4 + 0.35x = 0.9 + 0.00 5.4 + 0.35x = 0.9 Add '-5.4' to each side of the equation. 5.4 + -5.4 + 0.35x = 0.9 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 0.35x = 0.9 + -5.4 0.35x = 0.9 + -5.4 Combine like terms: 0.9 + -5.4 = -4.5 0.35x = -4.5 Divide each side by '0.35'. x = -12.85714286 Simplifying x = -12.85714286
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