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Simplifying 9(4 + x) = (x + -6) * 7 (4 * 9 + x * 9) = (x + -6) * 7 (36 + 9x) = (x + -6) * 7 Reorder the terms: 36 + 9x = (-6 + x) * 7 Reorder the terms for easier multiplication: 36 + 9x = 7(-6 + x) 36 + 9x = (-6 * 7 + x * 7) 36 + 9x = (-42 + 7x) Solving 36 + 9x = -42 + 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. 36 + 9x + -7x = -42 + 7x + -7x Combine like terms: 9x + -7x = 2x 36 + 2x = -42 + 7x + -7x Combine like terms: 7x + -7x = 0 36 + 2x = -42 + 0 36 + 2x = -42 Add '-36' to each side of the equation. 36 + -36 + 2x = -42 + -36 Combine like terms: 36 + -36 = 0 0 + 2x = -42 + -36 2x = -42 + -36 Combine like terms: -42 + -36 = -78 2x = -78 Divide each side by '2'. x = -39 Simplifying x = -39
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