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Simplifying 4(X + -3) + -5 = 1 + 3(X + 1) Reorder the terms: 4(-3 + X) + -5 = 1 + 3(X + 1) (-3 * 4 + X * 4) + -5 = 1 + 3(X + 1) (-12 + 4X) + -5 = 1 + 3(X + 1) Reorder the terms: -12 + -5 + 4X = 1 + 3(X + 1) Combine like terms: -12 + -5 = -17 -17 + 4X = 1 + 3(X + 1) Reorder the terms: -17 + 4X = 1 + 3(1 + X) -17 + 4X = 1 + (1 * 3 + X * 3) -17 + 4X = 1 + (3 + 3X) Combine like terms: 1 + 3 = 4 -17 + 4X = 4 + 3X Solving -17 + 4X = 4 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. -17 + 4X + -3X = 4 + 3X + -3X Combine like terms: 4X + -3X = 1X -17 + 1X = 4 + 3X + -3X Combine like terms: 3X + -3X = 0 -17 + 1X = 4 + 0 -17 + 1X = 4 Add '17' to each side of the equation. -17 + 17 + 1X = 4 + 17 Combine like terms: -17 + 17 = 0 0 + 1X = 4 + 17 1X = 4 + 17 Combine like terms: 4 + 17 = 21 1X = 21 Divide each side by '1'. X = 21 Simplifying X = 21
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