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Simplifying 0.24x + 2(0.3x + 3) = 12x Reorder the terms: 0.24x + 2(3 + 0.3x) = 12x 0.24x + (3 * 2 + 0.3x * 2) = 12x 0.24x + (6 + 0.6x) = 12x Reorder the terms: 6 + 0.24x + 0.6x = 12x Combine like terms: 0.24x + 0.6x = 0.84x 6 + 0.84x = 12x Solving 6 + 0.84x = 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. 6 + 0.84x + -12x = 12x + -12x Combine like terms: 0.84x + -12x = -11.16x 6 + -11.16x = 12x + -12x Combine like terms: 12x + -12x = 0 6 + -11.16x = 0 Add '-6' to each side of the equation. 6 + -6 + -11.16x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -11.16x = 0 + -6 -11.16x = 0 + -6 Combine like terms: 0 + -6 = -6 -11.16x = -6 Divide each side by '-11.16'. x = 0.5376344086 Simplifying x = 0.5376344086
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