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