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Simplifying 8(3 + -7x) + -2 = 5(2 + -10x) (3 * 8 + -7x * 8) + -2 = 5(2 + -10x) (24 + -56x) + -2 = 5(2 + -10x) Reorder the terms: 24 + -2 + -56x = 5(2 + -10x) Combine like terms: 24 + -2 = 22 22 + -56x = 5(2 + -10x) 22 + -56x = (2 * 5 + -10x * 5) 22 + -56x = (10 + -50x) Solving 22 + -56x = 10 + -50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '50x' to each side of the equation. 22 + -56x + 50x = 10 + -50x + 50x Combine like terms: -56x + 50x = -6x 22 + -6x = 10 + -50x + 50x Combine like terms: -50x + 50x = 0 22 + -6x = 10 + 0 22 + -6x = 10 Add '-22' to each side of the equation. 22 + -22 + -6x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -6x = 10 + -22 -6x = 10 + -22 Combine like terms: 10 + -22 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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