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Simplifying 7(3x + -8) = 5(3x + 2) Reorder the terms: 7(-8 + 3x) = 5(3x + 2) (-8 * 7 + 3x * 7) = 5(3x + 2) (-56 + 21x) = 5(3x + 2) Reorder the terms: -56 + 21x = 5(2 + 3x) -56 + 21x = (2 * 5 + 3x * 5) -56 + 21x = (10 + 15x) Solving -56 + 21x = 10 + 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. -56 + 21x + -15x = 10 + 15x + -15x Combine like terms: 21x + -15x = 6x -56 + 6x = 10 + 15x + -15x Combine like terms: 15x + -15x = 0 -56 + 6x = 10 + 0 -56 + 6x = 10 Add '56' to each side of the equation. -56 + 56 + 6x = 10 + 56 Combine like terms: -56 + 56 = 0 0 + 6x = 10 + 56 6x = 10 + 56 Combine like terms: 10 + 56 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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