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Simplifying 0.9x + 0.1(12) = 0.5(x + 12) Multiply 0.1 * 12 0.9x + 1.2 = 0.5(x + 12) Reorder the terms: 1.2 + 0.9x = 0.5(x + 12) Reorder the terms: 1.2 + 0.9x = 0.5(12 + x) 1.2 + 0.9x = (12 * 0.5 + x * 0.5) 1.2 + 0.9x = (6 + 0.5x) Solving 1.2 + 0.9x = 6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 1.2 + 0.9x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 0.9x + -0.5x = 0.4x 1.2 + 0.4x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 1.2 + 0.4x = 6 + 0.0 1.2 + 0.4x = 6 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 0.4x = 6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 0.4x = 6 + -1.2 0.4x = 6 + -1.2 Combine like terms: 6 + -1.2 = 4.8 0.4x = 4.8 Divide each side by '0.4'. x = 12 Simplifying x = 12
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