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Simplifying 34 + -6x = -7x + -7(x + -6) Reorder the terms: 34 + -6x = -7x + -7(-6 + x) 34 + -6x = -7x + (-6 * -7 + x * -7) 34 + -6x = -7x + (42 + -7x) Reorder the terms: 34 + -6x = 42 + -7x + -7x Combine like terms: -7x + -7x = -14x 34 + -6x = 42 + -14x Solving 34 + -6x = 42 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 34 + -6x + 14x = 42 + -14x + 14x Combine like terms: -6x + 14x = 8x 34 + 8x = 42 + -14x + 14x Combine like terms: -14x + 14x = 0 34 + 8x = 42 + 0 34 + 8x = 42 Add '-34' to each side of the equation. 34 + -34 + 8x = 42 + -34 Combine like terms: 34 + -34 = 0 0 + 8x = 42 + -34 8x = 42 + -34 Combine like terms: 42 + -34 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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