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Simplifying 10x + 6 = -3x + 39 Reorder the terms: 6 + 10x = -3x + 39 Reorder the terms: 6 + 10x = 39 + -3x Solving 6 + 10x = 39 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + 10x + 3x = 39 + -3x + 3x Combine like terms: 10x + 3x = 13x 6 + 13x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 13x = 39 + 0 6 + 13x = 39 Add '-6' to each side of the equation. 6 + -6 + 13x = 39 + -6 Combine like terms: 6 + -6 = 0 0 + 13x = 39 + -6 13x = 39 + -6 Combine like terms: 39 + -6 = 33 13x = 33 Divide each side by '13'. x = 2.538461538 Simplifying x = 2.538461538
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