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Simplifying 10x + 7 = 12x + 5 Reorder the terms: 7 + 10x = 12x + 5 Reorder the terms: 7 + 10x = 5 + 12x Solving 7 + 10x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 7 + 10x + -12x = 5 + 12x + -12x Combine like terms: 10x + -12x = -2x 7 + -2x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 7 + -2x = 5 + 0 7 + -2x = 5 Add '-7' to each side of the equation. 7 + -7 + -2x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 5 + -7 -2x = 5 + -7 Combine like terms: 5 + -7 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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