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Simplifying 8x + -1(2x + 6) = 4x + 18 Reorder the terms: 8x + -1(6 + 2x) = 4x + 18 8x + (6 * -1 + 2x * -1) = 4x + 18 8x + (-6 + -2x) = 4x + 18 Reorder the terms: -6 + 8x + -2x = 4x + 18 Combine like terms: 8x + -2x = 6x -6 + 6x = 4x + 18 Reorder the terms: -6 + 6x = 18 + 4x Solving -6 + 6x = 18 + 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. -6 + 6x + -4x = 18 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 18 + 0 -6 + 2x = 18 Add '6' to each side of the equation. -6 + 6 + 2x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 18 + 6 2x = 18 + 6 Combine like terms: 18 + 6 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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