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Simplifying 2(7x + -6) = x + 1 Reorder the terms: 2(-6 + 7x) = x + 1 (-6 * 2 + 7x * 2) = x + 1 (-12 + 14x) = x + 1 Reorder the terms: -12 + 14x = 1 + x Solving -12 + 14x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 14x + -1x = 1 + x + -1x Combine like terms: 14x + -1x = 13x -12 + 13x = 1 + x + -1x Combine like terms: x + -1x = 0 -12 + 13x = 1 + 0 -12 + 13x = 1 Add '12' to each side of the equation. -12 + 12 + 13x = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 1 + 12 13x = 1 + 12 Combine like terms: 1 + 12 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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