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Simplifying 2(x + -7) = 6(x + 1) Reorder the terms: 2(-7 + x) = 6(x + 1) (-7 * 2 + x * 2) = 6(x + 1) (-14 + 2x) = 6(x + 1) Reorder the terms: -14 + 2x = 6(1 + x) -14 + 2x = (1 * 6 + x * 6) -14 + 2x = (6 + 6x) Solving -14 + 2x = 6 + 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. -14 + 2x + -6x = 6 + 6x + -6x Combine like terms: 2x + -6x = -4x -14 + -4x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -4x = 6 + 0 -14 + -4x = 6 Add '14' to each side of the equation. -14 + 14 + -4x = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = 6 + 14 -4x = 6 + 14 Combine like terms: 6 + 14 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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