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Simplifying 3(X + -2) + -1(X + 1) * 4 = 7 + 2(X + -1) + -12 Reorder the terms: 3(-2 + X) + -1(X + 1) * 4 = 7 + 2(X + -1) + -12 (-2 * 3 + X * 3) + -1(X + 1) * 4 = 7 + 2(X + -1) + -12 (-6 + 3X) + -1(X + 1) * 4 = 7 + 2(X + -1) + -12 Reorder the terms: -6 + 3X + -1(1 + X) * 4 = 7 + 2(X + -1) + -12 Reorder the terms for easier multiplication: -6 + 3X + -1 * 4(1 + X) = 7 + 2(X + -1) + -12 Multiply -1 * 4 -6 + 3X + -4(1 + X) = 7 + 2(X + -1) + -12 -6 + 3X + (1 * -4 + X * -4) = 7 + 2(X + -1) + -12 -6 + 3X + (-4 + -4X) = 7 + 2(X + -1) + -12 Reorder the terms: -6 + -4 + 3X + -4X = 7 + 2(X + -1) + -12 Combine like terms: -6 + -4 = -10 -10 + 3X + -4X = 7 + 2(X + -1) + -12 Combine like terms: 3X + -4X = -1X -10 + -1X = 7 + 2(X + -1) + -12 Reorder the terms: -10 + -1X = 7 + 2(-1 + X) + -12 -10 + -1X = 7 + (-1 * 2 + X * 2) + -12 -10 + -1X = 7 + (-2 + 2X) + -12 Reorder the terms: -10 + -1X = 7 + -2 + -12 + 2X Combine like terms: 7 + -2 = 5 -10 + -1X = 5 + -12 + 2X Combine like terms: 5 + -12 = -7 -10 + -1X = -7 + 2X Solving -10 + -1X = -7 + 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. -10 + -1X + -2X = -7 + 2X + -2X Combine like terms: -1X + -2X = -3X -10 + -3X = -7 + 2X + -2X Combine like terms: 2X + -2X = 0 -10 + -3X = -7 + 0 -10 + -3X = -7 Add '10' to each side of the equation. -10 + 10 + -3X = -7 + 10 Combine like terms: -10 + 10 = 0 0 + -3X = -7 + 10 -3X = -7 + 10 Combine like terms: -7 + 10 = 3 -3X = 3 Divide each side by '-3'. X = -1 Simplifying X = -1
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