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Simplifying (9.40)(1.78 + -1x) = x (1.78 * 9.40 + -1x * 9.40) = x (16.732 + -9.4x) = x Solving 16.732 + -9.4x = 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. 16.732 + -9.4x + -1x = x + -1x Combine like terms: -9.4x + -1x = -10.4x 16.732 + -10.4x = x + -1x Combine like terms: x + -1x = 0 16.732 + -10.4x = 0 Add '-16.732' to each side of the equation. 16.732 + -16.732 + -10.4x = 0 + -16.732 Combine like terms: 16.732 + -16.732 = 0.000 0.000 + -10.4x = 0 + -16.732 -10.4x = 0 + -16.732 Combine like terms: 0 + -16.732 = -16.732 -10.4x = -16.732 Divide each side by '-10.4'. x = 1.608846154 Simplifying x = 1.608846154
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