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Simplifying 0.6(2x + 6) = 3(4 + -2x) + 6 Reorder the terms: 0.6(6 + 2x) = 3(4 + -2x) + 6 (6 * 0.6 + 2x * 0.6) = 3(4 + -2x) + 6 (3.6 + 1.2x) = 3(4 + -2x) + 6 3.6 + 1.2x = (4 * 3 + -2x * 3) + 6 3.6 + 1.2x = (12 + -6x) + 6 Reorder the terms: 3.6 + 1.2x = 12 + 6 + -6x Combine like terms: 12 + 6 = 18 3.6 + 1.2x = 18 + -6x Solving 3.6 + 1.2x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3.6 + 1.2x + 6x = 18 + -6x + 6x Combine like terms: 1.2x + 6x = 7.2x 3.6 + 7.2x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 3.6 + 7.2x = 18 + 0 3.6 + 7.2x = 18 Add '-3.6' to each side of the equation. 3.6 + -3.6 + 7.2x = 18 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 7.2x = 18 + -3.6 7.2x = 18 + -3.6 Combine like terms: 18 + -3.6 = 14.4 7.2x = 14.4 Divide each side by '7.2'. x = 2 Simplifying x = 2
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