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Simplifying 3(x + -1) + -1(4X + 2) = 3[(2X) + -1(X + 3)] Reorder the terms: 3(-1 + x) + -1(4X + 2) = 3[(2X) + -1(X + 3)] (-1 * 3 + x * 3) + -1(4X + 2) = 3[(2X) + -1(X + 3)] (-3 + 3x) + -1(4X + 2) = 3[(2X) + -1(X + 3)] Reorder the terms: -3 + 3x + -1(2 + 4X) = 3[(2X) + -1(X + 3)] -3 + 3x + (2 * -1 + 4X * -1) = 3[(2X) + -1(X + 3)] -3 + 3x + (-2 + -4X) = 3[(2X) + -1(X + 3)] Reorder the terms: -3 + -2 + -4X + 3x = 3[(2X) + -1(X + 3)] Combine like terms: -3 + -2 = -5 -5 + -4X + 3x = 3[(2X) + -1(X + 3)] Reorder the terms: -5 + -4X + 3x = 3[(2X) + -1(3 + X)] -5 + -4X + 3x = 3[(2X) + (3 * -1 + X * -1)] -5 + -4X + 3x = 3[(2X) + (-3 + -1X)] Reorder the terms: -5 + -4X + 3x = 3[-3 + (2X) + -1X] Combine like terms: (2X) + -1X = 1X -5 + -4X + 3x = 3[-3 + 1X] -5 + -4X + 3x = [-3 * 3 + 1X * 3] -5 + -4X + 3x = [-9 + 3X] Solving -5 + -4X + 3x = -9 + 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. -5 + -4X + -3X + 3x = -9 + 3X + -3X Combine like terms: -4X + -3X = -7X -5 + -7X + 3x = -9 + 3X + -3X Combine like terms: 3X + -3X = 0 -5 + -7X + 3x = -9 + 0 -5 + -7X + 3x = -9 Add '5' to each side of the equation. -5 + -7X + 5 + 3x = -9 + 5 Reorder the terms: -5 + 5 + -7X + 3x = -9 + 5 Combine like terms: -5 + 5 = 0 0 + -7X + 3x = -9 + 5 -7X + 3x = -9 + 5 Combine like terms: -9 + 5 = -4 -7X + 3x = -4 Add '-3x' to each side of the equation. -7X + 3x + -3x = -4 + -3x Combine like terms: 3x + -3x = 0 -7X + 0 = -4 + -3x -7X = -4 + -3x Divide each side by '-7'. X = 0.5714285714 + 0.4285714286x Simplifying X = 0.5714285714 + 0.4285714286x
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