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Simplifying 2(x + 3) = 8x + -1(2x + -18) Reorder the terms: 2(3 + x) = 8x + -1(2x + -18) (3 * 2 + x * 2) = 8x + -1(2x + -18) (6 + 2x) = 8x + -1(2x + -18) Reorder the terms: 6 + 2x = 8x + -1(-18 + 2x) 6 + 2x = 8x + (-18 * -1 + 2x * -1) 6 + 2x = 8x + (18 + -2x) Reorder the terms: 6 + 2x = 18 + 8x + -2x Combine like terms: 8x + -2x = 6x 6 + 2x = 18 + 6x Solving 6 + 2x = 18 + 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. 6 + 2x + -6x = 18 + 6x + -6x Combine like terms: 2x + -6x = -4x 6 + -4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -4x = 18 + 0 6 + -4x = 18 Add '-6' to each side of the equation. 6 + -6 + -4x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -4x = 18 + -6 -4x = 18 + -6 Combine like terms: 18 + -6 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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