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Simplifying -8x + -34 = -7(x + 6) Reorder the terms: -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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