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Simplifying 10x + -7 = 6x + 5 + 36 Reorder the terms: -7 + 10x = 6x + 5 + 36 Reorder the terms: -7 + 10x = 5 + 36 + 6x Combine like terms: 5 + 36 = 41 -7 + 10x = 41 + 6x Solving -7 + 10x = 41 + 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 = 41 + 6x + -6x Combine like terms: 10x + -6x = 4x -7 + 4x = 41 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 4x = 41 + 0 -7 + 4x = 41 Add '7' to each side of the equation. -7 + 7 + 4x = 41 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 41 + 7 4x = 41 + 7 Combine like terms: 41 + 7 = 48 4x = 48 Divide each side by '4'. x = 12 Simplifying x = 12
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