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