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Simplifying 9(x + 8) + -3(7x + -7) = 19 Reorder the terms: 9(8 + x) + -3(7x + -7) = 19 (8 * 9 + x * 9) + -3(7x + -7) = 19 (72 + 9x) + -3(7x + -7) = 19 Reorder the terms: 72 + 9x + -3(-7 + 7x) = 19 72 + 9x + (-7 * -3 + 7x * -3) = 19 72 + 9x + (21 + -21x) = 19 Reorder the terms: 72 + 21 + 9x + -21x = 19 Combine like terms: 72 + 21 = 93 93 + 9x + -21x = 19 Combine like terms: 9x + -21x = -12x 93 + -12x = 19 Solving 93 + -12x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-93' to each side of the equation. 93 + -93 + -12x = 19 + -93 Combine like terms: 93 + -93 = 0 0 + -12x = 19 + -93 -12x = 19 + -93 Combine like terms: 19 + -93 = -74 -12x = -74 Divide each side by '-12'. x = 6.166666667 Simplifying x = 6.166666667
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