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Simplifying 2.789 + -1.5(2.4x + -5.4296) = 6.32x + 5 Reorder the terms: 2.789 + -1.5(-5.4296 + 2.4x) = 6.32x + 5 2.789 + (-5.4296 * -1.5 + 2.4x * -1.5) = 6.32x + 5 2.789 + (8.1444 + -3.6x) = 6.32x + 5 Combine like terms: 2.789 + 8.1444 = 10.9334 10.9334 + -3.6x = 6.32x + 5 Reorder the terms: 10.9334 + -3.6x = 5 + 6.32x Solving 10.9334 + -3.6x = 5 + 6.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.32x' to each side of the equation. 10.9334 + -3.6x + -6.32x = 5 + 6.32x + -6.32x Combine like terms: -3.6x + -6.32x = -9.92x 10.9334 + -9.92x = 5 + 6.32x + -6.32x Combine like terms: 6.32x + -6.32x = 0.00 10.9334 + -9.92x = 5 + 0.00 10.9334 + -9.92x = 5 Add '-10.9334' to each side of the equation. 10.9334 + -10.9334 + -9.92x = 5 + -10.9334 Combine like terms: 10.9334 + -10.9334 = 0.0000 0.0000 + -9.92x = 5 + -10.9334 -9.92x = 5 + -10.9334 Combine like terms: 5 + -10.9334 = -5.9334 -9.92x = -5.9334 Divide each side by '-9.92'. x = 0.598125 Simplifying x = 0.598125
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