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