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Simplifying 3 + 2(x + -7) = 2 + -2(x + -6) Reorder the terms: 3 + 2(-7 + x) = 2 + -2(x + -6) 3 + (-7 * 2 + x * 2) = 2 + -2(x + -6) 3 + (-14 + 2x) = 2 + -2(x + -6) Combine like terms: 3 + -14 = -11 -11 + 2x = 2 + -2(x + -6) Reorder the terms: -11 + 2x = 2 + -2(-6 + x) -11 + 2x = 2 + (-6 * -2 + x * -2) -11 + 2x = 2 + (12 + -2x) Combine like terms: 2 + 12 = 14 -11 + 2x = 14 + -2x Solving -11 + 2x = 14 + -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. -11 + 2x + 2x = 14 + -2x + 2x Combine like terms: 2x + 2x = 4x -11 + 4x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 -11 + 4x = 14 + 0 -11 + 4x = 14 Add '11' to each side of the equation. -11 + 11 + 4x = 14 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 14 + 11 4x = 14 + 11 Combine like terms: 14 + 11 = 25 4x = 25 Divide each side by '4'. x = 6.25 Simplifying x = 6.25
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