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Simplifying 14 + -2.5(3x + -5) = 17 + -4x + -5b Reorder the terms: 14 + -2.5(-5 + 3x) = 17 + -4x + -5b 14 + (-5 * -2.5 + 3x * -2.5) = 17 + -4x + -5b 14 + (12.5 + -7.5x) = 17 + -4x + -5b Combine like terms: 14 + 12.5 = 26.5 26.5 + -7.5x = 17 + -4x + -5b Reorder the terms: 26.5 + -7.5x = 17 + -5b + -4x Solving 26.5 + -7.5x = 17 + -5b + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 26.5 + -7.5x + 4x = 17 + -5b + -4x + 4x Combine like terms: -7.5x + 4x = -3.5x 26.5 + -3.5x = 17 + -5b + -4x + 4x Combine like terms: -4x + 4x = 0 26.5 + -3.5x = 17 + -5b + 0 26.5 + -3.5x = 17 + -5b Add '-26.5' to each side of the equation. 26.5 + -26.5 + -3.5x = 17 + -26.5 + -5b Combine like terms: 26.5 + -26.5 = 0.0 0.0 + -3.5x = 17 + -26.5 + -5b -3.5x = 17 + -26.5 + -5b Combine like terms: 17 + -26.5 = -9.5 -3.5x = -9.5 + -5b Divide each side by '-3.5'. x = 2.714285714 + 1.428571429b Simplifying x = 2.714285714 + 1.428571429b
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