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Simplifying -7(x + 8) + -12 = 9(x + -5) Reorder the terms: -7(8 + x) + -12 = 9(x + -5) (8 * -7 + x * -7) + -12 = 9(x + -5) (-56 + -7x) + -12 = 9(x + -5) Reorder the terms: -56 + -12 + -7x = 9(x + -5) Combine like terms: -56 + -12 = -68 -68 + -7x = 9(x + -5) Reorder the terms: -68 + -7x = 9(-5 + x) -68 + -7x = (-5 * 9 + x * 9) -68 + -7x = (-45 + 9x) Solving -68 + -7x = -45 + 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. -68 + -7x + -9x = -45 + 9x + -9x Combine like terms: -7x + -9x = -16x -68 + -16x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -68 + -16x = -45 + 0 -68 + -16x = -45 Add '68' to each side of the equation. -68 + 68 + -16x = -45 + 68 Combine like terms: -68 + 68 = 0 0 + -16x = -45 + 68 -16x = -45 + 68 Combine like terms: -45 + 68 = 23 -16x = 23 Divide each side by '-16'. x = -1.4375 Simplifying x = -1.4375
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