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Simplifying -7x + 10 = 2(x + -5) Reorder the terms: 10 + -7x = 2(x + -5) Reorder the terms: 10 + -7x = 2(-5 + x) 10 + -7x = (-5 * 2 + x * 2) 10 + -7x = (-10 + 2x) Solving 10 + -7x = -10 + 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. 10 + -7x + -2x = -10 + 2x + -2x Combine like terms: -7x + -2x = -9x 10 + -9x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -9x = -10 + 0 10 + -9x = -10 Add '-10' to each side of the equation. 10 + -10 + -9x = -10 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = -10 + -10 -9x = -10 + -10 Combine like terms: -10 + -10 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222
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