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Simplifying 3(X + 1) + -18 = 2(X + -1) + -6 Reorder the terms: 3(1 + X) + -18 = 2(X + -1) + -6 (1 * 3 + X * 3) + -18 = 2(X + -1) + -6 (3 + 3X) + -18 = 2(X + -1) + -6 Reorder the terms: 3 + -18 + 3X = 2(X + -1) + -6 Combine like terms: 3 + -18 = -15 -15 + 3X = 2(X + -1) + -6 Reorder the terms: -15 + 3X = 2(-1 + X) + -6 -15 + 3X = (-1 * 2 + X * 2) + -6 -15 + 3X = (-2 + 2X) + -6 Reorder the terms: -15 + 3X = -2 + -6 + 2X Combine like terms: -2 + -6 = -8 -15 + 3X = -8 + 2X Solving -15 + 3X = -8 + 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. -15 + 3X + -2X = -8 + 2X + -2X Combine like terms: 3X + -2X = 1X -15 + 1X = -8 + 2X + -2X Combine like terms: 2X + -2X = 0 -15 + 1X = -8 + 0 -15 + 1X = -8 Add '15' to each side of the equation. -15 + 15 + 1X = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 1X = -8 + 15 1X = -8 + 15 Combine like terms: -8 + 15 = 7 1X = 7 Divide each side by '1'. X = 7 Simplifying X = 7
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