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Simplifying 2x + 18 = 12 + -6(x + 7) Reorder the terms: 18 + 2x = 12 + -6(x + 7) Reorder the terms: 18 + 2x = 12 + -6(7 + x) 18 + 2x = 12 + (7 * -6 + x * -6) 18 + 2x = 12 + (-42 + -6x) Combine like terms: 12 + -42 = -30 18 + 2x = -30 + -6x Solving 18 + 2x = -30 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 18 + 2x + 6x = -30 + -6x + 6x Combine like terms: 2x + 6x = 8x 18 + 8x = -30 + -6x + 6x Combine like terms: -6x + 6x = 0 18 + 8x = -30 + 0 18 + 8x = -30 Add '-18' to each side of the equation. 18 + -18 + 8x = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = -30 + -18 8x = -30 + -18 Combine like terms: -30 + -18 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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