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Simplifying 7(5 + 3x) = 3x + -1 (5 * 7 + 3x * 7) = 3x + -1 (35 + 21x) = 3x + -1 Reorder the terms: 35 + 21x = -1 + 3x Solving 35 + 21x = -1 + 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 + 21x + -3x = -1 + 3x + -3x Combine like terms: 21x + -3x = 18x 35 + 18x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 35 + 18x = -1 + 0 35 + 18x = -1 Add '-35' to each side of the equation. 35 + -35 + 18x = -1 + -35 Combine like terms: 35 + -35 = 0 0 + 18x = -1 + -35 18x = -1 + -35 Combine like terms: -1 + -35 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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