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Simplifying 5(2x + 7) = 3(x + -6) Reorder the terms: 5(7 + 2x) = 3(x + -6) (7 * 5 + 2x * 5) = 3(x + -6) (35 + 10x) = 3(x + -6) Reorder the terms: 35 + 10x = 3(-6 + x) 35 + 10x = (-6 * 3 + x * 3) 35 + 10x = (-18 + 3x) Solving 35 + 10x = -18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 35 + 10x + -3x = -18 + 3x + -3x Combine like terms: 10x + -3x = 7x 35 + 7x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 7x = -18 + 0 35 + 7x = -18 Add '-35' to each side of the equation. 35 + -35 + 7x = -18 + -35 Combine like terms: 35 + -35 = 0 0 + 7x = -18 + -35 7x = -18 + -35 Combine like terms: -18 + -35 = -53 7x = -53 Divide each side by '7'. x = -7.571428571 Simplifying x = -7.571428571
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