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Simplifying 2(3x + -7) = 2x + 2 Reorder the terms: 2(-7 + 3x) = 2x + 2 (-7 * 2 + 3x * 2) = 2x + 2 (-14 + 6x) = 2x + 2 Reorder the terms: -14 + 6x = 2 + 2x Solving -14 + 6x = 2 + 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 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x -14 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 4x = 2 + 0 -14 + 4x = 2 Add '14' to each side of the equation. -14 + 14 + 4x = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 2 + 14 4x = 2 + 14 Combine like terms: 2 + 14 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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