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Simplifying 10x + 5 + -2x + 4 = 6x + 13 Reorder the terms: 5 + 4 + 10x + -2x = 6x + 13 Combine like terms: 5 + 4 = 9 9 + 10x + -2x = 6x + 13 Combine like terms: 10x + -2x = 8x 9 + 8x = 6x + 13 Reorder the terms: 9 + 8x = 13 + 6x Solving 9 + 8x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 8x + -6x = 13 + 6x + -6x Combine like terms: 8x + -6x = 2x 9 + 2x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + 2x = 13 + 0 9 + 2x = 13 Add '-9' to each side of the equation. 9 + -9 + 2x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 13 + -9 2x = 13 + -9 Combine like terms: 13 + -9 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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