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Simplifying 3(7x + -8) = 2(11x + -7) Reorder the terms: 3(-8 + 7x) = 2(11x + -7) (-8 * 3 + 7x * 3) = 2(11x + -7) (-24 + 21x) = 2(11x + -7) Reorder the terms: -24 + 21x = 2(-7 + 11x) -24 + 21x = (-7 * 2 + 11x * 2) -24 + 21x = (-14 + 22x) Solving -24 + 21x = -14 + 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. -24 + 21x + -22x = -14 + 22x + -22x Combine like terms: 21x + -22x = -1x -24 + -1x = -14 + 22x + -22x Combine like terms: 22x + -22x = 0 -24 + -1x = -14 + 0 -24 + -1x = -14 Add '24' to each side of the equation. -24 + 24 + -1x = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -1x = -14 + 24 -1x = -14 + 24 Combine like terms: -14 + 24 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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