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Simplifying 6(x + -1) = 2x + 26 Reorder the terms: 6(-1 + x) = 2x + 26 (-1 * 6 + x * 6) = 2x + 26 (-6 + 6x) = 2x + 26 Reorder the terms: -6 + 6x = 26 + 2x Solving -6 + 6x = 26 + 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 = 26 + 2x + -2x Combine like terms: 6x + -2x = 4x -6 + 4x = 26 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 4x = 26 + 0 -6 + 4x = 26 Add '6' to each side of the equation. -6 + 6 + 4x = 26 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 26 + 6 4x = 26 + 6 Combine like terms: 26 + 6 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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