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Simplifying 5x + 20 + 3(4 + -1X) = 3X + -1 + 30 5x + 20 + (4 * 3 + -1X * 3) = 3X + -1 + 30 5x + 20 + (12 + -3X) = 3X + -1 + 30 Reorder the terms: 20 + 12 + -3X + 5x = 3X + -1 + 30 Combine like terms: 20 + 12 = 32 32 + -3X + 5x = 3X + -1 + 30 Reorder the terms: 32 + -3X + 5x = -1 + 30 + 3X Combine like terms: -1 + 30 = 29 32 + -3X + 5x = 29 + 3X Solving 32 + -3X + 5x = 29 + 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. 32 + -3X + -3X + 5x = 29 + 3X + -3X Combine like terms: -3X + -3X = -6X 32 + -6X + 5x = 29 + 3X + -3X Combine like terms: 3X + -3X = 0 32 + -6X + 5x = 29 + 0 32 + -6X + 5x = 29 Add '-32' to each side of the equation. 32 + -6X + -32 + 5x = 29 + -32 Reorder the terms: 32 + -32 + -6X + 5x = 29 + -32 Combine like terms: 32 + -32 = 0 0 + -6X + 5x = 29 + -32 -6X + 5x = 29 + -32 Combine like terms: 29 + -32 = -3 -6X + 5x = -3 Add '-5x' to each side of the equation. -6X + 5x + -5x = -3 + -5x Combine like terms: 5x + -5x = 0 -6X + 0 = -3 + -5x -6X = -3 + -5x Divide each side by '-6'. X = 0.5 + 0.8333333333x Simplifying X = 0.5 + 0.8333333333x
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