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Simplifying 2(x + -7) + 6x = 6(x + 2) Reorder the terms: 2(-7 + x) + 6x = 6(x + 2) (-7 * 2 + x * 2) + 6x = 6(x + 2) (-14 + 2x) + 6x = 6(x + 2) Combine like terms: 2x + 6x = 8x -14 + 8x = 6(x + 2) Reorder the terms: -14 + 8x = 6(2 + x) -14 + 8x = (2 * 6 + x * 6) -14 + 8x = (12 + 6x) Solving -14 + 8x = 12 + 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 + 8x + -6x = 12 + 6x + -6x Combine like terms: 8x + -6x = 2x -14 + 2x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 2x = 12 + 0 -14 + 2x = 12 Add '14' to each side of the equation. -14 + 14 + 2x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 12 + 14 2x = 12 + 14 Combine like terms: 12 + 14 = 26 2x = 26 Divide each side by '2'. x = 13 Simplifying x = 13
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