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Simplifying (x + 9) * 6 = (x + -7) * 4 Reorder the terms: (9 + x) * 6 = (x + -7) * 4 Reorder the terms for easier multiplication: 6(9 + x) = (x + -7) * 4 (9 * 6 + x * 6) = (x + -7) * 4 (54 + 6x) = (x + -7) * 4 Reorder the terms: 54 + 6x = (-7 + x) * 4 Reorder the terms for easier multiplication: 54 + 6x = 4(-7 + x) 54 + 6x = (-7 * 4 + x * 4) 54 + 6x = (-28 + 4x) Solving 54 + 6x = -28 + 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. 54 + 6x + -4x = -28 + 4x + -4x Combine like terms: 6x + -4x = 2x 54 + 2x = -28 + 4x + -4x Combine like terms: 4x + -4x = 0 54 + 2x = -28 + 0 54 + 2x = -28 Add '-54' to each side of the equation. 54 + -54 + 2x = -28 + -54 Combine like terms: 54 + -54 = 0 0 + 2x = -28 + -54 2x = -28 + -54 Combine like terms: -28 + -54 = -82 2x = -82 Divide each side by '2'. x = -41 Simplifying x = -41
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