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Simplifying 4(3x + 5) = -5(4x + -3) + -2x Reorder the terms: 4(5 + 3x) = -5(4x + -3) + -2x (5 * 4 + 3x * 4) = -5(4x + -3) + -2x (20 + 12x) = -5(4x + -3) + -2x Reorder the terms: 20 + 12x = -5(-3 + 4x) + -2x 20 + 12x = (-3 * -5 + 4x * -5) + -2x 20 + 12x = (15 + -20x) + -2x Combine like terms: -20x + -2x = -22x 20 + 12x = 15 + -22x Solving 20 + 12x = 15 + -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. 20 + 12x + 22x = 15 + -22x + 22x Combine like terms: 12x + 22x = 34x 20 + 34x = 15 + -22x + 22x Combine like terms: -22x + 22x = 0 20 + 34x = 15 + 0 20 + 34x = 15 Add '-20' to each side of the equation. 20 + -20 + 34x = 15 + -20 Combine like terms: 20 + -20 = 0 0 + 34x = 15 + -20 34x = 15 + -20 Combine like terms: 15 + -20 = -5 34x = -5 Divide each side by '34'. x = -0.1470588235 Simplifying x = -0.1470588235
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