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Simplifying 1.6 + 7.6(x) = x + 28.4 Reorder the terms: 1.6 + 7.6x = 28.4 + x Solving 1.6 + 7.6x = 28.4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 1.6 + 7.6x + -1x = 28.4 + x + -1x Combine like terms: 7.6x + -1x = 6.6x 1.6 + 6.6x = 28.4 + x + -1x Combine like terms: x + -1x = 0 1.6 + 6.6x = 28.4 + 0 1.6 + 6.6x = 28.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 6.6x = 28.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 6.6x = 28.4 + -1.6 6.6x = 28.4 + -1.6 Combine like terms: 28.4 + -1.6 = 26.8 6.6x = 26.8 Divide each side by '6.6'. x = 4.060606061 Simplifying x = 4.060606061
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