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Simplifying 7 + 3(x + -8) = 4 + -9(x + -1) Reorder the terms: 7 + 3(-8 + x) = 4 + -9(x + -1) 7 + (-8 * 3 + x * 3) = 4 + -9(x + -1) 7 + (-24 + 3x) = 4 + -9(x + -1) Combine like terms: 7 + -24 = -17 -17 + 3x = 4 + -9(x + -1) Reorder the terms: -17 + 3x = 4 + -9(-1 + x) -17 + 3x = 4 + (-1 * -9 + x * -9) -17 + 3x = 4 + (9 + -9x) Combine like terms: 4 + 9 = 13 -17 + 3x = 13 + -9x Solving -17 + 3x = 13 + -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. -17 + 3x + 9x = 13 + -9x + 9x Combine like terms: 3x + 9x = 12x -17 + 12x = 13 + -9x + 9x Combine like terms: -9x + 9x = 0 -17 + 12x = 13 + 0 -17 + 12x = 13 Add '17' to each side of the equation. -17 + 17 + 12x = 13 + 17 Combine like terms: -17 + 17 = 0 0 + 12x = 13 + 17 12x = 13 + 17 Combine like terms: 13 + 17 = 30 12x = 30 Divide each side by '12'. x = 2.5 Simplifying x = 2.5
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