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Simplifying x + 6 + 2x = -6(x + 2) + 3x Reorder the terms: 6 + x + 2x = -6(x + 2) + 3x Combine like terms: x + 2x = 3x 6 + 3x = -6(x + 2) + 3x Reorder the terms: 6 + 3x = -6(2 + x) + 3x 6 + 3x = (2 * -6 + x * -6) + 3x 6 + 3x = (-12 + -6x) + 3x Combine like terms: -6x + 3x = -3x 6 + 3x = -12 + -3x Solving 6 + 3x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 3x + 3x = -12 + -3x + 3x Combine like terms: 3x + 3x = 6x 6 + 6x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 6x = -12 + 0 6 + 6x = -12 Add '-6' to each side of the equation. 6 + -6 + 6x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 6x = -12 + -6 6x = -12 + -6 Combine like terms: -12 + -6 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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