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Simplifying 0.6x + 0.3(90 + x) = 0.5(90 + x) 0.6x + (90 * 0.3 + x * 0.3) = 0.5(90 + x) 0.6x + (27 + 0.3x) = 0.5(90 + x) Reorder the terms: 27 + 0.6x + 0.3x = 0.5(90 + x) Combine like terms: 0.6x + 0.3x = 0.9x 27 + 0.9x = 0.5(90 + x) 27 + 0.9x = (90 * 0.5 + x * 0.5) 27 + 0.9x = (45 + 0.5x) Solving 27 + 0.9x = 45 + 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. 27 + 0.9x + -0.5x = 45 + 0.5x + -0.5x Combine like terms: 0.9x + -0.5x = 0.4x 27 + 0.4x = 45 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 27 + 0.4x = 45 + 0.0 27 + 0.4x = 45 Add '-27' to each side of the equation. 27 + -27 + 0.4x = 45 + -27 Combine like terms: 27 + -27 = 0 0 + 0.4x = 45 + -27 0.4x = 45 + -27 Combine like terms: 45 + -27 = 18 0.4x = 18 Divide each side by '0.4'. x = 45 Simplifying x = 45
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