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Simplifying 7(x + 2) = 3 + -4(x + -5) Reorder the terms: 7(2 + x) = 3 + -4(x + -5) (2 * 7 + x * 7) = 3 + -4(x + -5) (14 + 7x) = 3 + -4(x + -5) Reorder the terms: 14 + 7x = 3 + -4(-5 + x) 14 + 7x = 3 + (-5 * -4 + x * -4) 14 + 7x = 3 + (20 + -4x) Combine like terms: 3 + 20 = 23 14 + 7x = 23 + -4x Solving 14 + 7x = 23 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 14 + 7x + 4x = 23 + -4x + 4x Combine like terms: 7x + 4x = 11x 14 + 11x = 23 + -4x + 4x Combine like terms: -4x + 4x = 0 14 + 11x = 23 + 0 14 + 11x = 23 Add '-14' to each side of the equation. 14 + -14 + 11x = 23 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 23 + -14 11x = 23 + -14 Combine like terms: 23 + -14 = 9 11x = 9 Divide each side by '11'. x = 0.8181818182 Simplifying x = 0.8181818182
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