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Simplifying 6(x + 9) + x = 7(-3 + -1x) Reorder the terms: 6(9 + x) + x = 7(-3 + -1x) (9 * 6 + x * 6) + x = 7(-3 + -1x) (54 + 6x) + x = 7(-3 + -1x) Combine like terms: 6x + x = 7x 54 + 7x = 7(-3 + -1x) 54 + 7x = (-3 * 7 + -1x * 7) 54 + 7x = (-21 + -7x) Solving 54 + 7x = -21 + -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. 54 + 7x + 7x = -21 + -7x + 7x Combine like terms: 7x + 7x = 14x 54 + 14x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 54 + 14x = -21 + 0 54 + 14x = -21 Add '-54' to each side of the equation. 54 + -54 + 14x = -21 + -54 Combine like terms: 54 + -54 = 0 0 + 14x = -21 + -54 14x = -21 + -54 Combine like terms: -21 + -54 = -75 14x = -75 Divide each side by '14'. x = -5.357142857 Simplifying x = -5.357142857
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