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Simplifying 2x + -25 = 3x + 2(-6x + 15) Reorder the terms: -25 + 2x = 3x + 2(-6x + 15) Reorder the terms: -25 + 2x = 3x + 2(15 + -6x) -25 + 2x = 3x + (15 * 2 + -6x * 2) -25 + 2x = 3x + (30 + -12x) Reorder the terms: -25 + 2x = 30 + 3x + -12x Combine like terms: 3x + -12x = -9x -25 + 2x = 30 + -9x Solving -25 + 2x = 30 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -25 + 2x + 9x = 30 + -9x + 9x Combine like terms: 2x + 9x = 11x -25 + 11x = 30 + -9x + 9x Combine like terms: -9x + 9x = 0 -25 + 11x = 30 + 0 -25 + 11x = 30 Add '25' to each side of the equation. -25 + 25 + 11x = 30 + 25 Combine like terms: -25 + 25 = 0 0 + 11x = 30 + 25 11x = 30 + 25 Combine like terms: 30 + 25 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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