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Simplifying 8x + -34 = -7(-2 + -8x) Reorder the terms: -34 + 8x = -7(-2 + -8x) -34 + 8x = (-2 * -7 + -8x * -7) -34 + 8x = (14 + 56x) Solving -34 + 8x = 14 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -34 + 8x + -56x = 14 + 56x + -56x Combine like terms: 8x + -56x = -48x -34 + -48x = 14 + 56x + -56x Combine like terms: 56x + -56x = 0 -34 + -48x = 14 + 0 -34 + -48x = 14 Add '34' to each side of the equation. -34 + 34 + -48x = 14 + 34 Combine like terms: -34 + 34 = 0 0 + -48x = 14 + 34 -48x = 14 + 34 Combine like terms: 14 + 34 = 48 -48x = 48 Divide each side by '-48'. x = -1 Simplifying x = -1
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