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Simplifying 7(x + 8) = 9(x + -6) Reorder the terms: 7(8 + x) = 9(x + -6) (8 * 7 + x * 7) = 9(x + -6) (56 + 7x) = 9(x + -6) Reorder the terms: 56 + 7x = 9(-6 + x) 56 + 7x = (-6 * 9 + x * 9) 56 + 7x = (-54 + 9x) Solving 56 + 7x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 56 + 7x + -9x = -54 + 9x + -9x Combine like terms: 7x + -9x = -2x 56 + -2x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 56 + -2x = -54 + 0 56 + -2x = -54 Add '-56' to each side of the equation. 56 + -56 + -2x = -54 + -56 Combine like terms: 56 + -56 = 0 0 + -2x = -54 + -56 -2x = -54 + -56 Combine like terms: -54 + -56 = -110 -2x = -110 Divide each side by '-2'. x = 55 Simplifying x = 55
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