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Simplifying 6x + 7 + X = 37 + -3X Reorder the terms: 7 + X + 6x = 37 + -3X Solving 7 + X + 6x = 37 + -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. 7 + X + 3X + 6x = 37 + -3X + 3X Combine like terms: X + 3X = 4X 7 + 4X + 6x = 37 + -3X + 3X Combine like terms: -3X + 3X = 0 7 + 4X + 6x = 37 + 0 7 + 4X + 6x = 37 Add '-7' to each side of the equation. 7 + 4X + -7 + 6x = 37 + -7 Reorder the terms: 7 + -7 + 4X + 6x = 37 + -7 Combine like terms: 7 + -7 = 0 0 + 4X + 6x = 37 + -7 4X + 6x = 37 + -7 Combine like terms: 37 + -7 = 30 4X + 6x = 30 Add '-6x' to each side of the equation. 4X + 6x + -6x = 30 + -6x Combine like terms: 6x + -6x = 0 4X + 0 = 30 + -6x 4X = 30 + -6x Divide each side by '4'. X = 7.5 + -1.5x Simplifying X = 7.5 + -1.5x
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