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Simplifying 2(x + 3) = -2(x + -7) Reorder the terms: 2(3 + x) = -2(x + -7) (3 * 2 + x * 2) = -2(x + -7) (6 + 2x) = -2(x + -7) Reorder the terms: 6 + 2x = -2(-7 + x) 6 + 2x = (-7 * -2 + x * -2) 6 + 2x = (14 + -2x) Solving 6 + 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. 6 + 2x + 2x = 14 + -2x + 2x Combine like terms: 2x + 2x = 4x 6 + 4x = 14 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 4x = 14 + 0 6 + 4x = 14 Add '-6' to each side of the equation. 6 + -6 + 4x = 14 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 14 + -6 4x = 14 + -6 Combine like terms: 14 + -6 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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