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Simplifying 3(1.2x + 8) = 3.2x + 30 Reorder the terms: 3(8 + 1.2x) = 3.2x + 30 (8 * 3 + 1.2x * 3) = 3.2x + 30 (24 + 3.6x) = 3.2x + 30 Reorder the terms: 24 + 3.6x = 30 + 3.2x Solving 24 + 3.6x = 30 + 3.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.2x' to each side of the equation. 24 + 3.6x + -3.2x = 30 + 3.2x + -3.2x Combine like terms: 3.6x + -3.2x = 0.4x 24 + 0.4x = 30 + 3.2x + -3.2x Combine like terms: 3.2x + -3.2x = 0.0 24 + 0.4x = 30 + 0.0 24 + 0.4x = 30 Add '-24' to each side of the equation. 24 + -24 + 0.4x = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 0.4x = 30 + -24 0.4x = 30 + -24 Combine like terms: 30 + -24 = 6 0.4x = 6 Divide each side by '0.4'. x = 15 Simplifying x = 15
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