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Simplifying 14.2 = 0.4(20x + -7.8) Reorder the terms: 14.2 = 0.4(-7.8 + 20x) 14.2 = (-7.8 * 0.4 + 20x * 0.4) 14.2 = (-3.12 + 8x) Solving 14.2 = -3.12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 14.2 + -8x = -3.12 + 8x + -8x Combine like terms: 8x + -8x = 0 14.2 + -8x = -3.12 + 0 14.2 + -8x = -3.12 Add '-14.2' to each side of the equation. 14.2 + -14.2 + -8x = -3.12 + -14.2 Combine like terms: 14.2 + -14.2 = 0.0 0.0 + -8x = -3.12 + -14.2 -8x = -3.12 + -14.2 Combine like terms: -3.12 + -14.2 = -17.32 -8x = -17.32 Divide each side by '-8'. x = 2.165 Simplifying x = 2.165
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