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Simplifying 2(X + -1) + -38(X + 1) = 2(X + 2) Reorder the terms: 2(-1 + X) + -38(X + 1) = 2(X + 2) (-1 * 2 + X * 2) + -38(X + 1) = 2(X + 2) (-2 + 2X) + -38(X + 1) = 2(X + 2) Reorder the terms: -2 + 2X + -38(1 + X) = 2(X + 2) -2 + 2X + (1 * -38 + X * -38) = 2(X + 2) -2 + 2X + (-38 + -38X) = 2(X + 2) Reorder the terms: -2 + -38 + 2X + -38X = 2(X + 2) Combine like terms: -2 + -38 = -40 -40 + 2X + -38X = 2(X + 2) Combine like terms: 2X + -38X = -36X -40 + -36X = 2(X + 2) Reorder the terms: -40 + -36X = 2(2 + X) -40 + -36X = (2 * 2 + X * 2) -40 + -36X = (4 + 2X) Solving -40 + -36X = 4 + 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. -40 + -36X + -2X = 4 + 2X + -2X Combine like terms: -36X + -2X = -38X -40 + -38X = 4 + 2X + -2X Combine like terms: 2X + -2X = 0 -40 + -38X = 4 + 0 -40 + -38X = 4 Add '40' to each side of the equation. -40 + 40 + -38X = 4 + 40 Combine like terms: -40 + 40 = 0 0 + -38X = 4 + 40 -38X = 4 + 40 Combine like terms: 4 + 40 = 44 -38X = 44 Divide each side by '-38'. X = -1.157894737 Simplifying X = -1.157894737
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