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Simplifying 6 + 5(x + -9) = 9 + -4(x + -2) Reorder the terms: 6 + 5(-9 + x) = 9 + -4(x + -2) 6 + (-9 * 5 + x * 5) = 9 + -4(x + -2) 6 + (-45 + 5x) = 9 + -4(x + -2) Combine like terms: 6 + -45 = -39 -39 + 5x = 9 + -4(x + -2) Reorder the terms: -39 + 5x = 9 + -4(-2 + x) -39 + 5x = 9 + (-2 * -4 + x * -4) -39 + 5x = 9 + (8 + -4x) Combine like terms: 9 + 8 = 17 -39 + 5x = 17 + -4x Solving -39 + 5x = 17 + -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. -39 + 5x + 4x = 17 + -4x + 4x Combine like terms: 5x + 4x = 9x -39 + 9x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 -39 + 9x = 17 + 0 -39 + 9x = 17 Add '39' to each side of the equation. -39 + 39 + 9x = 17 + 39 Combine like terms: -39 + 39 = 0 0 + 9x = 17 + 39 9x = 17 + 39 Combine like terms: 17 + 39 = 56 9x = 56 Divide each side by '9'. x = 6.222222222 Simplifying x = 6.222222222
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