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Simplifying 10x + 6 = 7x + 27 Reorder the terms: 6 + 10x = 7x + 27 Reorder the terms: 6 + 10x = 27 + 7x Solving 6 + 10x = 27 + 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. 6 + 10x + -7x = 27 + 7x + -7x Combine like terms: 10x + -7x = 3x 6 + 3x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 6 + 3x = 27 + 0 6 + 3x = 27 Add '-6' to each side of the equation. 6 + -6 + 3x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 27 + -6 3x = 27 + -6 Combine like terms: 27 + -6 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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