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Simplifying 3x + 6(x + 4) = 2 + (x + -5) + -9x + 2 Reorder the terms: 3x + 6(4 + x) = 2 + (x + -5) + -9x + 2 3x + (4 * 6 + x * 6) = 2 + (x + -5) + -9x + 2 3x + (24 + 6x) = 2 + (x + -5) + -9x + 2 Reorder the terms: 24 + 3x + 6x = 2 + (x + -5) + -9x + 2 Combine like terms: 3x + 6x = 9x 24 + 9x = 2 + (x + -5) + -9x + 2 Reorder the terms: 24 + 9x = 2 + (-5 + x) + -9x + 2 Remove parenthesis around (-5 + x) 24 + 9x = 2 + -5 + x + -9x + 2 Reorder the terms: 24 + 9x = 2 + -5 + 2 + x + -9x Combine like terms: 2 + -5 = -3 24 + 9x = -3 + 2 + x + -9x Combine like terms: -3 + 2 = -1 24 + 9x = -1 + x + -9x Combine like terms: x + -9x = -8x 24 + 9x = -1 + -8x Solving 24 + 9x = -1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 24 + 9x + 8x = -1 + -8x + 8x Combine like terms: 9x + 8x = 17x 24 + 17x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 24 + 17x = -1 + 0 24 + 17x = -1 Add '-24' to each side of the equation. 24 + -24 + 17x = -1 + -24 Combine like terms: 24 + -24 = 0 0 + 17x = -1 + -24 17x = -1 + -24 Combine like terms: -1 + -24 = -25 17x = -25 Divide each side by '17'. x = -1.470588235 Simplifying x = -1.470588235
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