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Simplifying 0.4(2x + 6) = 2(2 + -3x) + 12 Reorder the terms: 0.4(6 + 2x) = 2(2 + -3x) + 12 (6 * 0.4 + 2x * 0.4) = 2(2 + -3x) + 12 (2.4 + 0.8x) = 2(2 + -3x) + 12 2.4 + 0.8x = (2 * 2 + -3x * 2) + 12 2.4 + 0.8x = (4 + -6x) + 12 Reorder the terms: 2.4 + 0.8x = 4 + 12 + -6x Combine like terms: 4 + 12 = 16 2.4 + 0.8x = 16 + -6x Solving 2.4 + 0.8x = 16 + -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. 2.4 + 0.8x + 6x = 16 + -6x + 6x Combine like terms: 0.8x + 6x = 6.8x 2.4 + 6.8x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 2.4 + 6.8x = 16 + 0 2.4 + 6.8x = 16 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 6.8x = 16 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 6.8x = 16 + -2.4 6.8x = 16 + -2.4 Combine like terms: 16 + -2.4 = 13.6 6.8x = 13.6 Divide each side by '6.8'. x = 2 Simplifying x = 2
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