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