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Simplifying 5 + -8(x + 7) = 12x + -9 + x Reorder the terms: 5 + -8(7 + x) = 12x + -9 + x 5 + (7 * -8 + x * -8) = 12x + -9 + x 5 + (-56 + -8x) = 12x + -9 + x Combine like terms: 5 + -56 = -51 -51 + -8x = 12x + -9 + x Reorder the terms: -51 + -8x = -9 + 12x + x Combine like terms: 12x + x = 13x -51 + -8x = -9 + 13x Solving -51 + -8x = -9 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -51 + -8x + -13x = -9 + 13x + -13x Combine like terms: -8x + -13x = -21x -51 + -21x = -9 + 13x + -13x Combine like terms: 13x + -13x = 0 -51 + -21x = -9 + 0 -51 + -21x = -9 Add '51' to each side of the equation. -51 + 51 + -21x = -9 + 51 Combine like terms: -51 + 51 = 0 0 + -21x = -9 + 51 -21x = -9 + 51 Combine like terms: -9 + 51 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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