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Simplifying 5x + 3x + 13 = 6 + 7x Reorder the terms: 13 + 5x + 3x = 6 + 7x Combine like terms: 5x + 3x = 8x 13 + 8x = 6 + 7x Solving 13 + 8x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 13 + 8x + -7x = 6 + 7x + -7x Combine like terms: 8x + -7x = 1x 13 + 1x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 13 + 1x = 6 + 0 13 + 1x = 6 Add '-13' to each side of the equation. 13 + -13 + 1x = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = 6 + -13 1x = 6 + -13 Combine like terms: 6 + -13 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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