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Simplifying 0.24(24) + 0.6x = 12(12 + x) Multiply 0.24 * 24 5.76 + 0.6x = 12(12 + x) 5.76 + 0.6x = (12 * 12 + x * 12) 5.76 + 0.6x = (144 + 12x) Solving 5.76 + 0.6x = 144 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5.76 + 0.6x + -12x = 144 + 12x + -12x Combine like terms: 0.6x + -12x = -11.4x 5.76 + -11.4x = 144 + 12x + -12x Combine like terms: 12x + -12x = 0 5.76 + -11.4x = 144 + 0 5.76 + -11.4x = 144 Add '-5.76' to each side of the equation. 5.76 + -5.76 + -11.4x = 144 + -5.76 Combine like terms: 5.76 + -5.76 = 0.00 0.00 + -11.4x = 144 + -5.76 -11.4x = 144 + -5.76 Combine like terms: 144 + -5.76 = 138.24 -11.4x = 138.24 Divide each side by '-11.4'. x = -12.12631579 Simplifying x = -12.12631579
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