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Simplifying 10x + 7 = 6x + 15 Reorder the terms: 7 + 10x = 6x + 15 Reorder the terms: 7 + 10x = 15 + 6x Solving 7 + 10x = 15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 10x + -6x = 15 + 6x + -6x Combine like terms: 10x + -6x = 4x 7 + 4x = 15 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 4x = 15 + 0 7 + 4x = 15 Add '-7' to each side of the equation. 7 + -7 + 4x = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 15 + -7 4x = 15 + -7 Combine like terms: 15 + -7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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