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Simplifying 6x + 13 = 83 + -10x Reorder the terms: 13 + 6x = 83 + -10x Solving 13 + 6x = 83 + -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. 13 + 6x + 10x = 83 + -10x + 10x Combine like terms: 6x + 10x = 16x 13 + 16x = 83 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + 16x = 83 + 0 13 + 16x = 83 Add '-13' to each side of the equation. 13 + -13 + 16x = 83 + -13 Combine like terms: 13 + -13 = 0 0 + 16x = 83 + -13 16x = 83 + -13 Combine like terms: 83 + -13 = 70 16x = 70 Divide each side by '16'. x = 4.375 Simplifying x = 4.375
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