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Simplifying 6(x + -1) = -2x + 34 Reorder the terms: 6(-1 + x) = -2x + 34 (-1 * 6 + x * 6) = -2x + 34 (-6 + 6x) = -2x + 34 Reorder the terms: -6 + 6x = 34 + -2x Solving -6 + 6x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 6x + 2x = 34 + -2x + 2x Combine like terms: 6x + 2x = 8x -6 + 8x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 8x = 34 + 0 -6 + 8x = 34 Add '6' to each side of the equation. -6 + 6 + 8x = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 34 + 6 8x = 34 + 6 Combine like terms: 34 + 6 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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