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Simplifying 2x + -3(6 + -2x) = 2(5 + 2x) 2x + (6 * -3 + -2x * -3) = 2(5 + 2x) 2x + (-18 + 6x) = 2(5 + 2x) Reorder the terms: -18 + 2x + 6x = 2(5 + 2x) Combine like terms: 2x + 6x = 8x -18 + 8x = 2(5 + 2x) -18 + 8x = (5 * 2 + 2x * 2) -18 + 8x = (10 + 4x) Solving -18 + 8x = 10 + 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. -18 + 8x + -4x = 10 + 4x + -4x Combine like terms: 8x + -4x = 4x -18 + 4x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 4x = 10 + 0 -18 + 4x = 10 Add '18' to each side of the equation. -18 + 18 + 4x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = 10 + 18 4x = 10 + 18 Combine like terms: 10 + 18 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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