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Simplifying -38 + 6x = 52 + 3x Solving -38 + 6x = 52 + 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. -38 + 6x + -3x = 52 + 3x + -3x Combine like terms: 6x + -3x = 3x -38 + 3x = 52 + 3x + -3x Combine like terms: 3x + -3x = 0 -38 + 3x = 52 + 0 -38 + 3x = 52 Add '38' to each side of the equation. -38 + 38 + 3x = 52 + 38 Combine like terms: -38 + 38 = 0 0 + 3x = 52 + 38 3x = 52 + 38 Combine like terms: 52 + 38 = 90 3x = 90 Divide each side by '3'. x = 30 Simplifying x = 30
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