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Simplifying 83 + -6x = 10x + -19 Reorder the terms: 83 + -6x = -19 + 10x Solving 83 + -6x = -19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 83 + -6x + -10x = -19 + 10x + -10x Combine like terms: -6x + -10x = -16x 83 + -16x = -19 + 10x + -10x Combine like terms: 10x + -10x = 0 83 + -16x = -19 + 0 83 + -16x = -19 Add '-83' to each side of the equation. 83 + -83 + -16x = -19 + -83 Combine like terms: 83 + -83 = 0 0 + -16x = -19 + -83 -16x = -19 + -83 Combine like terms: -19 + -83 = -102 -16x = -102 Divide each side by '-16'. x = 6.375 Simplifying x = 6.375
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