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Simplifying 3x + -4(4x + 2) = 9x + 12(8 + -2) Reorder the terms: 3x + -4(2 + 4x) = 9x + 12(8 + -2) 3x + (2 * -4 + 4x * -4) = 9x + 12(8 + -2) 3x + (-8 + -16x) = 9x + 12(8 + -2) Reorder the terms: -8 + 3x + -16x = 9x + 12(8 + -2) Combine like terms: 3x + -16x = -13x -8 + -13x = 9x + 12(8 + -2) Combine like terms: 8 + -2 = 6 -8 + -13x = 9x + 12(6) Multiply 12 * 6 -8 + -13x = 9x + 72 Reorder the terms: -8 + -13x = 72 + 9x Solving -8 + -13x = 72 + 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. -8 + -13x + -9x = 72 + 9x + -9x Combine like terms: -13x + -9x = -22x -8 + -22x = 72 + 9x + -9x Combine like terms: 9x + -9x = 0 -8 + -22x = 72 + 0 -8 + -22x = 72 Add '8' to each side of the equation. -8 + 8 + -22x = 72 + 8 Combine like terms: -8 + 8 = 0 0 + -22x = 72 + 8 -22x = 72 + 8 Combine like terms: 72 + 8 = 80 -22x = 80 Divide each side by '-22'. x = -3.636363636 Simplifying x = -3.636363636
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