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Simplifying 6x + -38 = 52 + 11x Reorder the terms: -38 + 6x = 52 + 11x Solving -38 + 6x = 52 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -38 + 6x + -11x = 52 + 11x + -11x Combine like terms: 6x + -11x = -5x -38 + -5x = 52 + 11x + -11x Combine like terms: 11x + -11x = 0 -38 + -5x = 52 + 0 -38 + -5x = 52 Add '38' to each side of the equation. -38 + 38 + -5x = 52 + 38 Combine like terms: -38 + 38 = 0 0 + -5x = 52 + 38 -5x = 52 + 38 Combine like terms: 52 + 38 = 90 -5x = 90 Divide each side by '-5'. x = -18 Simplifying x = -18
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