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Simplifying 2.5(10 + 13x) = 12(x + -3) + 14 (10 * 2.5 + 13x * 2.5) = 12(x + -3) + 14 (25 + 32.5x) = 12(x + -3) + 14 Reorder the terms: 25 + 32.5x = 12(-3 + x) + 14 25 + 32.5x = (-3 * 12 + x * 12) + 14 25 + 32.5x = (-36 + 12x) + 14 Reorder the terms: 25 + 32.5x = -36 + 14 + 12x Combine like terms: -36 + 14 = -22 25 + 32.5x = -22 + 12x Solving 25 + 32.5x = -22 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 25 + 32.5x + -12x = -22 + 12x + -12x Combine like terms: 32.5x + -12x = 20.5x 25 + 20.5x = -22 + 12x + -12x Combine like terms: 12x + -12x = 0 25 + 20.5x = -22 + 0 25 + 20.5x = -22 Add '-25' to each side of the equation. 25 + -25 + 20.5x = -22 + -25 Combine like terms: 25 + -25 = 0 0 + 20.5x = -22 + -25 20.5x = -22 + -25 Combine like terms: -22 + -25 = -47 20.5x = -47 Divide each side by '20.5'. x = -2.292682927 Simplifying x = -2.292682927
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