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Simplifying 5x + 38 = 16x + -62 Reorder the terms: 38 + 5x = 16x + -62 Reorder the terms: 38 + 5x = -62 + 16x Solving 38 + 5x = -62 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 38 + 5x + -16x = -62 + 16x + -16x Combine like terms: 5x + -16x = -11x 38 + -11x = -62 + 16x + -16x Combine like terms: 16x + -16x = 0 38 + -11x = -62 + 0 38 + -11x = -62 Add '-38' to each side of the equation. 38 + -38 + -11x = -62 + -38 Combine like terms: 38 + -38 = 0 0 + -11x = -62 + -38 -11x = -62 + -38 Combine like terms: -62 + -38 = -100 -11x = -100 Divide each side by '-11'. x = 9.090909091 Simplifying x = 9.090909091
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