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Simplifying 7(x + 3) = -6x + 34 Reorder the terms: 7(3 + x) = -6x + 34 (3 * 7 + x * 7) = -6x + 34 (21 + 7x) = -6x + 34 Reorder the terms: 21 + 7x = 34 + -6x Solving 21 + 7x = 34 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 21 + 7x + 6x = 34 + -6x + 6x Combine like terms: 7x + 6x = 13x 21 + 13x = 34 + -6x + 6x Combine like terms: -6x + 6x = 0 21 + 13x = 34 + 0 21 + 13x = 34 Add '-21' to each side of the equation. 21 + -21 + 13x = 34 + -21 Combine like terms: 21 + -21 = 0 0 + 13x = 34 + -21 13x = 34 + -21 Combine like terms: 34 + -21 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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