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Simplifying 2(3x + -7) = 2(x + 5) Reorder the terms: 2(-7 + 3x) = 2(x + 5) (-7 * 2 + 3x * 2) = 2(x + 5) (-14 + 6x) = 2(x + 5) Reorder the terms: -14 + 6x = 2(5 + x) -14 + 6x = (5 * 2 + x * 2) -14 + 6x = (10 + 2x) Solving -14 + 6x = 10 + 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 = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x -14 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 4x = 10 + 0 -14 + 4x = 10 Add '14' to each side of the equation. -14 + 14 + 4x = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 4x = 10 + 14 4x = 10 + 14 Combine like terms: 10 + 14 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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