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Simplifying x + 6 = x + -3(x + 6) Reorder the terms: 6 + x = x + -3(x + 6) Reorder the terms: 6 + x = x + -3(6 + x) 6 + x = x + (6 * -3 + x * -3) 6 + x = x + (-18 + -3x) Reorder the terms: 6 + x = -18 + x + -3x Combine like terms: x + -3x = -2x 6 + x = -18 + -2x Solving 6 + x = -18 + -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 + x + 2x = -18 + -2x + 2x Combine like terms: x + 2x = 3x 6 + 3x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 3x = -18 + 0 6 + 3x = -18 Add '-6' to each side of the equation. 6 + -6 + 3x = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = -18 + -6 3x = -18 + -6 Combine like terms: -18 + -6 = -24 3x = -24 Divide each side by '3'. x = -8 Simplifying x = -8
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