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Simplifying 6x + 4x + 7 = 3x + 5x + 13 Reorder the terms: 7 + 6x + 4x = 3x + 5x + 13 Combine like terms: 6x + 4x = 10x 7 + 10x = 3x + 5x + 13 Reorder the terms: 7 + 10x = 13 + 3x + 5x Combine like terms: 3x + 5x = 8x 7 + 10x = 13 + 8x Solving 7 + 10x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + 10x + -8x = 13 + 8x + -8x Combine like terms: 10x + -8x = 2x 7 + 2x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + 2x = 13 + 0 7 + 2x = 13 Add '-7' to each side of the equation. 7 + -7 + 2x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 13 + -7 2x = 13 + -7 Combine like terms: 13 + -7 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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