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Simplifying 12.8 = 5.3 + 1.54(x + -5.3) Reorder the terms: 12.8 = 5.3 + 1.54(-5.3 + x) 12.8 = 5.3 + (-5.3 * 1.54 + x * 1.54) 12.8 = 5.3 + (-8.162 + 1.54x) Combine like terms: 5.3 + -8.162 = -2.862 12.8 = -2.862 + 1.54x Solving 12.8 = -2.862 + 1.54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.54x' to each side of the equation. 12.8 + -1.54x = -2.862 + 1.54x + -1.54x Combine like terms: 1.54x + -1.54x = 0.00 12.8 + -1.54x = -2.862 + 0.00 12.8 + -1.54x = -2.862 Add '-12.8' to each side of the equation. 12.8 + -12.8 + -1.54x = -2.862 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + -1.54x = -2.862 + -12.8 -1.54x = -2.862 + -12.8 Combine like terms: -2.862 + -12.8 = -15.662 -1.54x = -15.662 Divide each side by '-1.54'. x = 10.17012987 Simplifying x = 10.17012987
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