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Simplifying 0.6(2x + 8) = 4(2 + -4x) + 14 Reorder the terms: 0.6(8 + 2x) = 4(2 + -4x) + 14 (8 * 0.6 + 2x * 0.6) = 4(2 + -4x) + 14 (4.8 + 1.2x) = 4(2 + -4x) + 14 4.8 + 1.2x = (2 * 4 + -4x * 4) + 14 4.8 + 1.2x = (8 + -16x) + 14 Reorder the terms: 4.8 + 1.2x = 8 + 14 + -16x Combine like terms: 8 + 14 = 22 4.8 + 1.2x = 22 + -16x Solving 4.8 + 1.2x = 22 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 4.8 + 1.2x + 16x = 22 + -16x + 16x Combine like terms: 1.2x + 16x = 17.2x 4.8 + 17.2x = 22 + -16x + 16x Combine like terms: -16x + 16x = 0 4.8 + 17.2x = 22 + 0 4.8 + 17.2x = 22 Add '-4.8' to each side of the equation. 4.8 + -4.8 + 17.2x = 22 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + 17.2x = 22 + -4.8 17.2x = 22 + -4.8 Combine like terms: 22 + -4.8 = 17.2 17.2x = 17.2 Divide each side by '17.2'. x = 1 Simplifying x = 1
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