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Simplifying -5x + 10 = 7x + -6 Reorder the terms: 10 + -5x = 7x + -6 Reorder the terms: 10 + -5x = -6 + 7x Solving 10 + -5x = -6 + 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. 10 + -5x + -7x = -6 + 7x + -7x Combine like terms: -5x + -7x = -12x 10 + -12x = -6 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -12x = -6 + 0 10 + -12x = -6 Add '-10' to each side of the equation. 10 + -10 + -12x = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -6 + -10 -12x = -6 + -10 Combine like terms: -6 + -10 = -16 -12x = -16 Divide each side by '-12'. x = 1.333333333 Simplifying x = 1.333333333
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