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Simplifying 2x + 7 = 4 + -1(7x + -5) Reorder the terms: 7 + 2x = 4 + -1(7x + -5) Reorder the terms: 7 + 2x = 4 + -1(-5 + 7x) 7 + 2x = 4 + (-5 * -1 + 7x * -1) 7 + 2x = 4 + (5 + -7x) Combine like terms: 4 + 5 = 9 7 + 2x = 9 + -7x Solving 7 + 2x = 9 + -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. 7 + 2x + 7x = 9 + -7x + 7x Combine like terms: 2x + 7x = 9x 7 + 9x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 7 + 9x = 9 + 0 7 + 9x = 9 Add '-7' to each side of the equation. 7 + -7 + 9x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 9 + -7 9x = 9 + -7 Combine like terms: 9 + -7 = 2 9x = 2 Divide each side by '9'. x = 0.2222222222 Simplifying x = 0.2222222222
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