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Simplifying 4 + 2(x + -1) = 9 + -5(x + -9) Reorder the terms: 4 + 2(-1 + x) = 9 + -5(x + -9) 4 + (-1 * 2 + x * 2) = 9 + -5(x + -9) 4 + (-2 + 2x) = 9 + -5(x + -9) Combine like terms: 4 + -2 = 2 2 + 2x = 9 + -5(x + -9) Reorder the terms: 2 + 2x = 9 + -5(-9 + x) 2 + 2x = 9 + (-9 * -5 + x * -5) 2 + 2x = 9 + (45 + -5x) Combine like terms: 9 + 45 = 54 2 + 2x = 54 + -5x Solving 2 + 2x = 54 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 2x + 5x = 54 + -5x + 5x Combine like terms: 2x + 5x = 7x 2 + 7x = 54 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 7x = 54 + 0 2 + 7x = 54 Add '-2' to each side of the equation. 2 + -2 + 7x = 54 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 54 + -2 7x = 54 + -2 Combine like terms: 54 + -2 = 52 7x = 52 Divide each side by '7'. x = 7.428571429 Simplifying x = 7.428571429
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