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Simplifying 0.6x + 4.2 = 0.3(x + 24) Reorder the terms: 4.2 + 0.6x = 0.3(x + 24) Reorder the terms: 4.2 + 0.6x = 0.3(24 + x) 4.2 + 0.6x = (24 * 0.3 + x * 0.3) 4.2 + 0.6x = (7.2 + 0.3x) Solving 4.2 + 0.6x = 7.2 + 0.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3x' to each side of the equation. 4.2 + 0.6x + -0.3x = 7.2 + 0.3x + -0.3x Combine like terms: 0.6x + -0.3x = 0.3x 4.2 + 0.3x = 7.2 + 0.3x + -0.3x Combine like terms: 0.3x + -0.3x = 0.0 4.2 + 0.3x = 7.2 + 0.0 4.2 + 0.3x = 7.2 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 0.3x = 7.2 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 0.3x = 7.2 + -4.2 0.3x = 7.2 + -4.2 Combine like terms: 7.2 + -4.2 = 3 0.3x = 3 Divide each side by '0.3'. x = 10 Simplifying x = 10
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