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Simplifying 2(x + 4.6) = 6(7.8 + -1x) Reorder the terms: 2(4.6 + x) = 6(7.8 + -1x) (4.6 * 2 + x * 2) = 6(7.8 + -1x) (9.2 + 2x) = 6(7.8 + -1x) 9.2 + 2x = (7.8 * 6 + -1x * 6) 9.2 + 2x = (46.8 + -6x) Solving 9.2 + 2x = 46.8 + -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. 9.2 + 2x + 6x = 46.8 + -6x + 6x Combine like terms: 2x + 6x = 8x 9.2 + 8x = 46.8 + -6x + 6x Combine like terms: -6x + 6x = 0 9.2 + 8x = 46.8 + 0 9.2 + 8x = 46.8 Add '-9.2' to each side of the equation. 9.2 + -9.2 + 8x = 46.8 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + 8x = 46.8 + -9.2 8x = 46.8 + -9.2 Combine like terms: 46.8 + -9.2 = 37.6 8x = 37.6 Divide each side by '8'. x = 4.7 Simplifying x = 4.7
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