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Simplifying 3(4x + 2) = -5(5x + -5) + 3x Reorder the terms: 3(2 + 4x) = -5(5x + -5) + 3x (2 * 3 + 4x * 3) = -5(5x + -5) + 3x (6 + 12x) = -5(5x + -5) + 3x Reorder the terms: 6 + 12x = -5(-5 + 5x) + 3x 6 + 12x = (-5 * -5 + 5x * -5) + 3x 6 + 12x = (25 + -25x) + 3x Combine like terms: -25x + 3x = -22x 6 + 12x = 25 + -22x Solving 6 + 12x = 25 + -22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22x' to each side of the equation. 6 + 12x + 22x = 25 + -22x + 22x Combine like terms: 12x + 22x = 34x 6 + 34x = 25 + -22x + 22x Combine like terms: -22x + 22x = 0 6 + 34x = 25 + 0 6 + 34x = 25 Add '-6' to each side of the equation. 6 + -6 + 34x = 25 + -6 Combine like terms: 6 + -6 = 0 0 + 34x = 25 + -6 34x = 25 + -6 Combine like terms: 25 + -6 = 19 34x = 19 Divide each side by '34'. x = 0.5588235294 Simplifying x = 0.5588235294
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