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Simplifying 13x + 6 + -7x = 9 + 4x + 10 Reorder the terms: 6 + 13x + -7x = 9 + 4x + 10 Combine like terms: 13x + -7x = 6x 6 + 6x = 9 + 4x + 10 Reorder the terms: 6 + 6x = 9 + 10 + 4x Combine like terms: 9 + 10 = 19 6 + 6x = 19 + 4x Solving 6 + 6x = 19 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 6 + 6x + -4x = 19 + 4x + -4x Combine like terms: 6x + -4x = 2x 6 + 2x = 19 + 4x + -4x Combine like terms: 4x + -4x = 0 6 + 2x = 19 + 0 6 + 2x = 19 Add '-6' to each side of the equation. 6 + -6 + 2x = 19 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 19 + -6 2x = 19 + -6 Combine like terms: 19 + -6 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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