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Simplifying -7x + 5 = 2(x + -10.1) Reorder the terms: 5 + -7x = 2(x + -10.1) Reorder the terms: 5 + -7x = 2(-10.1 + x) 5 + -7x = (-10.1 * 2 + x * 2) 5 + -7x = (-20.2 + 2x) Solving 5 + -7x = -20.2 + 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 = -20.2 + 2x + -2x Combine like terms: -7x + -2x = -9x 5 + -9x = -20.2 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -9x = -20.2 + 0 5 + -9x = -20.2 Add '-5' to each side of the equation. 5 + -5 + -9x = -20.2 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -20.2 + -5 -9x = -20.2 + -5 Combine like terms: -20.2 + -5 = -25.2 -9x = -25.2 Divide each side by '-9'. x = 2.8 Simplifying x = 2.8
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