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Simplifying 9 + -2(3x + 4) = 5 + -3(x + -4) Reorder the terms: 9 + -2(4 + 3x) = 5 + -3(x + -4) 9 + (4 * -2 + 3x * -2) = 5 + -3(x + -4) 9 + (-8 + -6x) = 5 + -3(x + -4) Combine like terms: 9 + -8 = 1 1 + -6x = 5 + -3(x + -4) Reorder the terms: 1 + -6x = 5 + -3(-4 + x) 1 + -6x = 5 + (-4 * -3 + x * -3) 1 + -6x = 5 + (12 + -3x) Combine like terms: 5 + 12 = 17 1 + -6x = 17 + -3x Solving 1 + -6x = 17 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 1 + -6x + 3x = 17 + -3x + 3x Combine like terms: -6x + 3x = -3x 1 + -3x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + -3x = 17 + 0 1 + -3x = 17 Add '-1' to each side of the equation. 1 + -1 + -3x = 17 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 17 + -1 -3x = 17 + -1 Combine like terms: 17 + -1 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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