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Simplifying 5(X + -31) + -2(X + 1) = X + 3 Reorder the terms: 5(-31 + X) + -2(X + 1) = X + 3 (-31 * 5 + X * 5) + -2(X + 1) = X + 3 (-155 + 5X) + -2(X + 1) = X + 3 Reorder the terms: -155 + 5X + -2(1 + X) = X + 3 -155 + 5X + (1 * -2 + X * -2) = X + 3 -155 + 5X + (-2 + -2X) = X + 3 Reorder the terms: -155 + -2 + 5X + -2X = X + 3 Combine like terms: -155 + -2 = -157 -157 + 5X + -2X = X + 3 Combine like terms: 5X + -2X = 3X -157 + 3X = X + 3 Reorder the terms: -157 + 3X = 3 + X Solving -157 + 3X = 3 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -157 + 3X + -1X = 3 + X + -1X Combine like terms: 3X + -1X = 2X -157 + 2X = 3 + X + -1X Combine like terms: X + -1X = 0 -157 + 2X = 3 + 0 -157 + 2X = 3 Add '157' to each side of the equation. -157 + 157 + 2X = 3 + 157 Combine like terms: -157 + 157 = 0 0 + 2X = 3 + 157 2X = 3 + 157 Combine like terms: 3 + 157 = 160 2X = 160 Divide each side by '2'. X = 80 Simplifying X = 80
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