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Simplifying 2(2X + -2) + -2 = 2(X + 3) + 18 Reorder the terms: 2(-2 + 2X) + -2 = 2(X + 3) + 18 (-2 * 2 + 2X * 2) + -2 = 2(X + 3) + 18 (-4 + 4X) + -2 = 2(X + 3) + 18 Reorder the terms: -4 + -2 + 4X = 2(X + 3) + 18 Combine like terms: -4 + -2 = -6 -6 + 4X = 2(X + 3) + 18 Reorder the terms: -6 + 4X = 2(3 + X) + 18 -6 + 4X = (3 * 2 + X * 2) + 18 -6 + 4X = (6 + 2X) + 18 Reorder the terms: -6 + 4X = 6 + 18 + 2X Combine like terms: 6 + 18 = 24 -6 + 4X = 24 + 2X Solving -6 + 4X = 24 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -6 + 4X + -2X = 24 + 2X + -2X Combine like terms: 4X + -2X = 2X -6 + 2X = 24 + 2X + -2X Combine like terms: 2X + -2X = 0 -6 + 2X = 24 + 0 -6 + 2X = 24 Add '6' to each side of the equation. -6 + 6 + 2X = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 2X = 24 + 6 2X = 24 + 6 Combine like terms: 24 + 6 = 30 2X = 30 Divide each side by '2'. X = 15 Simplifying X = 15
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