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Simplifying 6x + 34 = -7(x + -3) Reorder the terms: 34 + 6x = -7(x + -3) Reorder the terms: 34 + 6x = -7(-3 + x) 34 + 6x = (-3 * -7 + x * -7) 34 + 6x = (21 + -7x) Solving 34 + 6x = 21 + -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. 34 + 6x + 7x = 21 + -7x + 7x Combine like terms: 6x + 7x = 13x 34 + 13x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 34 + 13x = 21 + 0 34 + 13x = 21 Add '-34' to each side of the equation. 34 + -34 + 13x = 21 + -34 Combine like terms: 34 + -34 = 0 0 + 13x = 21 + -34 13x = 21 + -34 Combine like terms: 21 + -34 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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