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Simplifying 6x + 13 + 2x + -3 = 3x + 15 Reorder the terms: 13 + -3 + 6x + 2x = 3x + 15 Combine like terms: 13 + -3 = 10 10 + 6x + 2x = 3x + 15 Combine like terms: 6x + 2x = 8x 10 + 8x = 3x + 15 Reorder the terms: 10 + 8x = 15 + 3x Solving 10 + 8x = 15 + 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. 10 + 8x + -3x = 15 + 3x + -3x Combine like terms: 8x + -3x = 5x 10 + 5x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 5x = 15 + 0 10 + 5x = 15 Add '-10' to each side of the equation. 10 + -10 + 5x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 5x = 15 + -10 5x = 15 + -10 Combine like terms: 15 + -10 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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