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Simplifying -7x + 5 = 2x + -10.1 Reorder the terms: 5 + -7x = 2x + -10.1 Reorder the terms: 5 + -7x = -10.1 + 2x Solving 5 + -7x = -10.1 + 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. 5 + -7x + -2x = -10.1 + 2x + -2x Combine like terms: -7x + -2x = -9x 5 + -9x = -10.1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -9x = -10.1 + 0 5 + -9x = -10.1 Add '-5' to each side of the equation. 5 + -5 + -9x = -10.1 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -10.1 + -5 -9x = -10.1 + -5 Combine like terms: -10.1 + -5 = -15.1 -9x = -15.1 Divide each side by '-9'. x = 1.677777778 Simplifying x = 1.677777778
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