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Simplifying 2(3x + 3) = 6x + -2(x + 7) Reorder the terms: 2(3 + 3x) = 6x + -2(x + 7) (3 * 2 + 3x * 2) = 6x + -2(x + 7) (6 + 6x) = 6x + -2(x + 7) Reorder the terms: 6 + 6x = 6x + -2(7 + x) 6 + 6x = 6x + (7 * -2 + x * -2) 6 + 6x = 6x + (-14 + -2x) Reorder the terms: 6 + 6x = -14 + 6x + -2x Combine like terms: 6x + -2x = 4x 6 + 6x = -14 + 4x Solving 6 + 6x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 6x + -4x = -14 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = -14 + 0 6 + 2x = -14 Add '-6' to each side of the equation. 6 + -6 + 2x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -14 + -6 2x = -14 + -6 Combine like terms: -14 + -6 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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