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Simplifying 2x + -6 = 2(18 + -2x) Reorder the terms: -6 + 2x = 2(18 + -2x) -6 + 2x = (18 * 2 + -2x * 2) -6 + 2x = (36 + -4x) Solving -6 + 2x = 36 + -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 + 2x + 4x = 36 + -4x + 4x Combine like terms: 2x + 4x = 6x -6 + 6x = 36 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 6x = 36 + 0 -6 + 6x = 36 Add '6' to each side of the equation. -6 + 6 + 6x = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 36 + 6 6x = 36 + 6 Combine like terms: 36 + 6 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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