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Simplifying 7(3x + 6) = 7(-8x + 5) Reorder the terms: 7(6 + 3x) = 7(-8x + 5) (6 * 7 + 3x * 7) = 7(-8x + 5) (42 + 21x) = 7(-8x + 5) Reorder the terms: 42 + 21x = 7(5 + -8x) 42 + 21x = (5 * 7 + -8x * 7) 42 + 21x = (35 + -56x) Solving 42 + 21x = 35 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 42 + 21x + 56x = 35 + -56x + 56x Combine like terms: 21x + 56x = 77x 42 + 77x = 35 + -56x + 56x Combine like terms: -56x + 56x = 0 42 + 77x = 35 + 0 42 + 77x = 35 Add '-42' to each side of the equation. 42 + -42 + 77x = 35 + -42 Combine like terms: 42 + -42 = 0 0 + 77x = 35 + -42 77x = 35 + -42 Combine like terms: 35 + -42 = -7 77x = -7 Divide each side by '77'. x = -0.09090909091 Simplifying x = -0.09090909091
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