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Simplifying 2x + 6(x + 3) = 2(x + -6) Reorder the terms: 2x + 6(3 + x) = 2(x + -6) 2x + (3 * 6 + x * 6) = 2(x + -6) 2x + (18 + 6x) = 2(x + -6) Reorder the terms: 18 + 2x + 6x = 2(x + -6) Combine like terms: 2x + 6x = 8x 18 + 8x = 2(x + -6) Reorder the terms: 18 + 8x = 2(-6 + x) 18 + 8x = (-6 * 2 + x * 2) 18 + 8x = (-12 + 2x) Solving 18 + 8x = -12 + 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. 18 + 8x + -2x = -12 + 2x + -2x Combine like terms: 8x + -2x = 6x 18 + 6x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 18 + 6x = -12 + 0 18 + 6x = -12 Add '-18' to each side of the equation. 18 + -18 + 6x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 6x = -12 + -18 6x = -12 + -18 Combine like terms: -12 + -18 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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