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Simplifying 2x + -3(-7 + -7x) = 5(3 + 5x) 2x + (-7 * -3 + -7x * -3) = 5(3 + 5x) 2x + (21 + 21x) = 5(3 + 5x) Reorder the terms: 21 + 2x + 21x = 5(3 + 5x) Combine like terms: 2x + 21x = 23x 21 + 23x = 5(3 + 5x) 21 + 23x = (3 * 5 + 5x * 5) 21 + 23x = (15 + 25x) Solving 21 + 23x = 15 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 21 + 23x + -25x = 15 + 25x + -25x Combine like terms: 23x + -25x = -2x 21 + -2x = 15 + 25x + -25x Combine like terms: 25x + -25x = 0 21 + -2x = 15 + 0 21 + -2x = 15 Add '-21' to each side of the equation. 21 + -21 + -2x = 15 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 15 + -21 -2x = 15 + -21 Combine like terms: 15 + -21 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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