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Simplifying -10x + 7 = 2x + 5 Reorder the terms: 7 + -10x = 2x + 5 Reorder the terms: 7 + -10x = 5 + 2x Solving 7 + -10x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -10x + -2x = 5 + 2x + -2x Combine like terms: -10x + -2x = -12x 7 + -12x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -12x = 5 + 0 7 + -12x = 5 Add '-7' to each side of the equation. 7 + -7 + -12x = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 5 + -7 -12x = 5 + -7 Combine like terms: 5 + -7 = -2 -12x = -2 Divide each side by '-12'. x = 0.1666666667 Simplifying x = 0.1666666667
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