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Simplifying 0.4(4x + 7) = 2(2 + -3x) + 14 Reorder the terms: 0.4(7 + 4x) = 2(2 + -3x) + 14 (7 * 0.4 + 4x * 0.4) = 2(2 + -3x) + 14 (2.8 + 1.6x) = 2(2 + -3x) + 14 2.8 + 1.6x = (2 * 2 + -3x * 2) + 14 2.8 + 1.6x = (4 + -6x) + 14 Reorder the terms: 2.8 + 1.6x = 4 + 14 + -6x Combine like terms: 4 + 14 = 18 2.8 + 1.6x = 18 + -6x Solving 2.8 + 1.6x = 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. 2.8 + 1.6x + 6x = 18 + -6x + 6x Combine like terms: 1.6x + 6x = 7.6x 2.8 + 7.6x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 2.8 + 7.6x = 18 + 0 2.8 + 7.6x = 18 Add '-2.8' to each side of the equation. 2.8 + -2.8 + 7.6x = 18 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 7.6x = 18 + -2.8 7.6x = 18 + -2.8 Combine like terms: 18 + -2.8 = 15.2 7.6x = 15.2 Divide each side by '7.6'. x = 2 Simplifying x = 2
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