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Simplifying 83 + -3x = 10x + 13 Reorder the terms: 83 + -3x = 13 + 10x Solving 83 + -3x = 13 + 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 + -3x + -10x = 13 + 10x + -10x Combine like terms: -3x + -10x = -13x 83 + -13x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 83 + -13x = 13 + 0 83 + -13x = 13 Add '-83' to each side of the equation. 83 + -83 + -13x = 13 + -83 Combine like terms: 83 + -83 = 0 0 + -13x = 13 + -83 -13x = 13 + -83 Combine like terms: 13 + -83 = -70 -13x = -70 Divide each side by '-13'. x = 5.384615385 Simplifying x = 5.384615385
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