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Simplifying 3x + -2(5x + -8) = 5(3x + 7) Reorder the terms: 3x + -2(-8 + 5x) = 5(3x + 7) 3x + (-8 * -2 + 5x * -2) = 5(3x + 7) 3x + (16 + -10x) = 5(3x + 7) Reorder the terms: 16 + 3x + -10x = 5(3x + 7) Combine like terms: 3x + -10x = -7x 16 + -7x = 5(3x + 7) Reorder the terms: 16 + -7x = 5(7 + 3x) 16 + -7x = (7 * 5 + 3x * 5) 16 + -7x = (35 + 15x) Solving 16 + -7x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + -7x + -15x = 35 + 15x + -15x Combine like terms: -7x + -15x = -22x 16 + -22x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + -22x = 35 + 0 16 + -22x = 35 Add '-16' to each side of the equation. 16 + -16 + -22x = 35 + -16 Combine like terms: 16 + -16 = 0 0 + -22x = 35 + -16 -22x = 35 + -16 Combine like terms: 35 + -16 = 19 -22x = 19 Divide each side by '-22'. x = -0.8636363636 Simplifying x = -0.8636363636
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