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Simplifying 18 + -2(x + 2) = 6 + -4(x + 1) Reorder the terms: 18 + -2(2 + x) = 6 + -4(x + 1) 18 + (2 * -2 + x * -2) = 6 + -4(x + 1) 18 + (-4 + -2x) = 6 + -4(x + 1) Combine like terms: 18 + -4 = 14 14 + -2x = 6 + -4(x + 1) Reorder the terms: 14 + -2x = 6 + -4(1 + x) 14 + -2x = 6 + (1 * -4 + x * -4) 14 + -2x = 6 + (-4 + -4x) Combine like terms: 6 + -4 = 2 14 + -2x = 2 + -4x Solving 14 + -2x = 2 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + -2x + 4x = 2 + -4x + 4x Combine like terms: -2x + 4x = 2x 14 + 2x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 2x = 2 + 0 14 + 2x = 2 Add '-14' to each side of the equation. 14 + -14 + 2x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = 2 + -14 2x = 2 + -14 Combine like terms: 2 + -14 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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