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Simplifying 1.2(3 + x) = 7.8 + x (3 * 1.2 + x * 1.2) = 7.8 + x (3.6 + 1.2x) = 7.8 + x Solving 3.6 + 1.2x = 7.8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.6 + 1.2x + -1x = 7.8 + x + -1x Combine like terms: 1.2x + -1x = 0.2x 3.6 + 0.2x = 7.8 + x + -1x Combine like terms: x + -1x = 0 3.6 + 0.2x = 7.8 + 0 3.6 + 0.2x = 7.8 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.2x = 7.8 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.2x = 7.8 + -3.6 0.2x = 7.8 + -3.6 Combine like terms: 7.8 + -3.6 = 4.2 0.2x = 4.2 Divide each side by '0.2'. x = 21 Simplifying x = 21
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