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Simplifying 7x + 3x + -6x + 7 = 5x + 13 + -4x Reorder the terms: 7 + 7x + 3x + -6x = 5x + 13 + -4x Combine like terms: 7x + 3x = 10x 7 + 10x + -6x = 5x + 13 + -4x Combine like terms: 10x + -6x = 4x 7 + 4x = 5x + 13 + -4x Reorder the terms: 7 + 4x = 13 + 5x + -4x Combine like terms: 5x + -4x = 1x 7 + 4x = 13 + 1x Solving 7 + 4x = 13 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 7 + 4x + -1x = 13 + 1x + -1x Combine like terms: 4x + -1x = 3x 7 + 3x = 13 + 1x + -1x Combine like terms: 1x + -1x = 0 7 + 3x = 13 + 0 7 + 3x = 13 Add '-7' to each side of the equation. 7 + -7 + 3x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 13 + -7 3x = 13 + -7 Combine like terms: 13 + -7 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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