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Simplifying 2(4x + -7) = 6x + 8 Reorder the terms: 2(-7 + 4x) = 6x + 8 (-7 * 2 + 4x * 2) = 6x + 8 (-14 + 8x) = 6x + 8 Reorder the terms: -14 + 8x = 8 + 6x Solving -14 + 8x = 8 + 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 = 8 + 6x + -6x Combine like terms: 8x + -6x = 2x -14 + 2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 2x = 8 + 0 -14 + 2x = 8 Add '14' to each side of the equation. -14 + 14 + 2x = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 2x = 8 + 14 2x = 8 + 14 Combine like terms: 8 + 14 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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