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Simplifying 6(x + -6) + 14 = 2(x + -7) Reorder the terms: 6(-6 + x) + 14 = 2(x + -7) (-6 * 6 + x * 6) + 14 = 2(x + -7) (-36 + 6x) + 14 = 2(x + -7) Reorder the terms: -36 + 14 + 6x = 2(x + -7) Combine like terms: -36 + 14 = -22 -22 + 6x = 2(x + -7) Reorder the terms: -22 + 6x = 2(-7 + x) -22 + 6x = (-7 * 2 + x * 2) -22 + 6x = (-14 + 2x) Solving -22 + 6x = -14 + 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. -22 + 6x + -2x = -14 + 2x + -2x Combine like terms: 6x + -2x = 4x -22 + 4x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -22 + 4x = -14 + 0 -22 + 4x = -14 Add '22' to each side of the equation. -22 + 22 + 4x = -14 + 22 Combine like terms: -22 + 22 = 0 0 + 4x = -14 + 22 4x = -14 + 22 Combine like terms: -14 + 22 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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