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Simplifying 5 + 6(x + -9) = 6 + -3(x + -1) Reorder the terms: 5 + 6(-9 + x) = 6 + -3(x + -1) 5 + (-9 * 6 + x * 6) = 6 + -3(x + -1) 5 + (-54 + 6x) = 6 + -3(x + -1) Combine like terms: 5 + -54 = -49 -49 + 6x = 6 + -3(x + -1) Reorder the terms: -49 + 6x = 6 + -3(-1 + x) -49 + 6x = 6 + (-1 * -3 + x * -3) -49 + 6x = 6 + (3 + -3x) Combine like terms: 6 + 3 = 9 -49 + 6x = 9 + -3x Solving -49 + 6x = 9 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -49 + 6x + 3x = 9 + -3x + 3x Combine like terms: 6x + 3x = 9x -49 + 9x = 9 + -3x + 3x Combine like terms: -3x + 3x = 0 -49 + 9x = 9 + 0 -49 + 9x = 9 Add '49' to each side of the equation. -49 + 49 + 9x = 9 + 49 Combine like terms: -49 + 49 = 0 0 + 9x = 9 + 49 9x = 9 + 49 Combine like terms: 9 + 49 = 58 9x = 58 Divide each side by '9'. x = 6.444444444 Simplifying x = 6.444444444
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