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Simplifying 2.4x + 5.6(14 + -1x) = x 2.4x + (14 * 5.6 + -1x * 5.6) = x 2.4x + (78.4 + -5.6x) = x Reorder the terms: 78.4 + 2.4x + -5.6x = x Combine like terms: 2.4x + -5.6x = -3.2x 78.4 + -3.2x = x Solving 78.4 + -3.2x = 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. 78.4 + -3.2x + -1x = x + -1x Combine like terms: -3.2x + -1x = -4.2x 78.4 + -4.2x = x + -1x Combine like terms: x + -1x = 0 78.4 + -4.2x = 0 Add '-78.4' to each side of the equation. 78.4 + -78.4 + -4.2x = 0 + -78.4 Combine like terms: 78.4 + -78.4 = 0.0 0.0 + -4.2x = 0 + -78.4 -4.2x = 0 + -78.4 Combine like terms: 0 + -78.4 = -78.4 -4.2x = -78.4 Divide each side by '-4.2'. x = 18.66666667 Simplifying x = 18.66666667
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