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Simplifying 9 + -7(x + 6) = 9(x + -8) Reorder the terms: 9 + -7(6 + x) = 9(x + -8) 9 + (6 * -7 + x * -7) = 9(x + -8) 9 + (-42 + -7x) = 9(x + -8) Combine like terms: 9 + -42 = -33 -33 + -7x = 9(x + -8) Reorder the terms: -33 + -7x = 9(-8 + x) -33 + -7x = (-8 * 9 + x * 9) -33 + -7x = (-72 + 9x) Solving -33 + -7x = -72 + 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. -33 + -7x + -9x = -72 + 9x + -9x Combine like terms: -7x + -9x = -16x -33 + -16x = -72 + 9x + -9x Combine like terms: 9x + -9x = 0 -33 + -16x = -72 + 0 -33 + -16x = -72 Add '33' to each side of the equation. -33 + 33 + -16x = -72 + 33 Combine like terms: -33 + 33 = 0 0 + -16x = -72 + 33 -16x = -72 + 33 Combine like terms: -72 + 33 = -39 -16x = -39 Divide each side by '-16'. x = 2.4375 Simplifying x = 2.4375
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