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Simplifying -34 + -8x = -6(x + 7) Reorder the terms: -34 + -8x = -6(7 + x) -34 + -8x = (7 * -6 + x * -6) -34 + -8x = (-42 + -6x) Solving -34 + -8x = -42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -34 + -8x + 6x = -42 + -6x + 6x Combine like terms: -8x + 6x = -2x -34 + -2x = -42 + -6x + 6x Combine like terms: -6x + 6x = 0 -34 + -2x = -42 + 0 -34 + -2x = -42 Add '34' to each side of the equation. -34 + 34 + -2x = -42 + 34 Combine like terms: -34 + 34 = 0 0 + -2x = -42 + 34 -2x = -42 + 34 Combine like terms: -42 + 34 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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