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Simplifying 5x + -3(5 + x) + -25 = 12(5 + 2x) 5x + (5 * -3 + x * -3) + -25 = 12(5 + 2x) 5x + (-15 + -3x) + -25 = 12(5 + 2x) Reorder the terms: -15 + -25 + 5x + -3x = 12(5 + 2x) Combine like terms: -15 + -25 = -40 -40 + 5x + -3x = 12(5 + 2x) Combine like terms: 5x + -3x = 2x -40 + 2x = 12(5 + 2x) -40 + 2x = (5 * 12 + 2x * 12) -40 + 2x = (60 + 24x) Solving -40 + 2x = 60 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -40 + 2x + -24x = 60 + 24x + -24x Combine like terms: 2x + -24x = -22x -40 + -22x = 60 + 24x + -24x Combine like terms: 24x + -24x = 0 -40 + -22x = 60 + 0 -40 + -22x = 60 Add '40' to each side of the equation. -40 + 40 + -22x = 60 + 40 Combine like terms: -40 + 40 = 0 0 + -22x = 60 + 40 -22x = 60 + 40 Combine like terms: 60 + 40 = 100 -22x = 100 Divide each side by '-22'. x = -4.545454545 Simplifying x = -4.545454545
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