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Simplifying 7(3x + 5) = 7(1 + -1x) Reorder the terms: 7(5 + 3x) = 7(1 + -1x) (5 * 7 + 3x * 7) = 7(1 + -1x) (35 + 21x) = 7(1 + -1x) 35 + 21x = (1 * 7 + -1x * 7) 35 + 21x = (7 + -7x) Solving 35 + 21x = 7 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 35 + 21x + 7x = 7 + -7x + 7x Combine like terms: 21x + 7x = 28x 35 + 28x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 35 + 28x = 7 + 0 35 + 28x = 7 Add '-35' to each side of the equation. 35 + -35 + 28x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 28x = 7 + -35 28x = 7 + -35 Combine like terms: 7 + -35 = -28 28x = -28 Divide each side by '28'. x = -1 Simplifying x = -1
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