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Simplifying 0.4(30) + 0.8x = 60(30 + x) Multiply 0.4 * 30 12 + 0.8x = 60(30 + x) 12 + 0.8x = (30 * 60 + x * 60) 12 + 0.8x = (1800 + 60x) Solving 12 + 0.8x = 1800 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 12 + 0.8x + -60x = 1800 + 60x + -60x Combine like terms: 0.8x + -60x = -59.2x 12 + -59.2x = 1800 + 60x + -60x Combine like terms: 60x + -60x = 0 12 + -59.2x = 1800 + 0 12 + -59.2x = 1800 Add '-12' to each side of the equation. 12 + -12 + -59.2x = 1800 + -12 Combine like terms: 12 + -12 = 0 0 + -59.2x = 1800 + -12 -59.2x = 1800 + -12 Combine like terms: 1800 + -12 = 1788 -59.2x = 1788 Divide each side by '-59.2'. x = -30.2027027 Simplifying x = -30.2027027
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