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Simplifying 0.6(2x + 2) = 2(3 + -2x) + 16 Reorder the terms: 0.6(2 + 2x) = 2(3 + -2x) + 16 (2 * 0.6 + 2x * 0.6) = 2(3 + -2x) + 16 (1.2 + 1.2x) = 2(3 + -2x) + 16 1.2 + 1.2x = (3 * 2 + -2x * 2) + 16 1.2 + 1.2x = (6 + -4x) + 16 Reorder the terms: 1.2 + 1.2x = 6 + 16 + -4x Combine like terms: 6 + 16 = 22 1.2 + 1.2x = 22 + -4x Solving 1.2 + 1.2x = 22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1.2 + 1.2x + 4x = 22 + -4x + 4x Combine like terms: 1.2x + 4x = 5.2x 1.2 + 5.2x = 22 + -4x + 4x Combine like terms: -4x + 4x = 0 1.2 + 5.2x = 22 + 0 1.2 + 5.2x = 22 Add '-1.2' to each side of the equation. 1.2 + -1.2 + 5.2x = 22 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 5.2x = 22 + -1.2 5.2x = 22 + -1.2 Combine like terms: 22 + -1.2 = 20.8 5.2x = 20.8 Divide each side by '5.2'. x = 4 Simplifying x = 4
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