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Simplifying 6(x + 9) = 7(x + -4) Reorder the terms: 6(9 + x) = 7(x + -4) (9 * 6 + x * 6) = 7(x + -4) (54 + 6x) = 7(x + -4) Reorder the terms: 54 + 6x = 7(-4 + x) 54 + 6x = (-4 * 7 + x * 7) 54 + 6x = (-28 + 7x) Solving 54 + 6x = -28 + 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 + 6x + -7x = -28 + 7x + -7x Combine like terms: 6x + -7x = -1x 54 + -1x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 54 + -1x = -28 + 0 54 + -1x = -28 Add '-54' to each side of the equation. 54 + -54 + -1x = -28 + -54 Combine like terms: 54 + -54 = 0 0 + -1x = -28 + -54 -1x = -28 + -54 Combine like terms: -28 + -54 = -82 -1x = -82 Divide each side by '-1'. x = 82 Simplifying x = 82
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