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Simplifying 34 + -8x = -7(x + -6) Reorder the terms: 34 + -8x = -7(-6 + x) 34 + -8x = (-6 * -7 + x * -7) 34 + -8x = (42 + -7x) Solving 34 + -8x = 42 + -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 + -8x + 7x = 42 + -7x + 7x Combine like terms: -8x + 7x = -1x 34 + -1x = 42 + -7x + 7x Combine like terms: -7x + 7x = 0 34 + -1x = 42 + 0 34 + -1x = 42 Add '-34' to each side of the equation. 34 + -34 + -1x = 42 + -34 Combine like terms: 34 + -34 = 0 0 + -1x = 42 + -34 -1x = 42 + -34 Combine like terms: 42 + -34 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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