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Simplifying 2x + -4(3x + 9) = 7 + -2(3 + -6x) Reorder the terms: 2x + -4(9 + 3x) = 7 + -2(3 + -6x) 2x + (9 * -4 + 3x * -4) = 7 + -2(3 + -6x) 2x + (-36 + -12x) = 7 + -2(3 + -6x) Reorder the terms: -36 + 2x + -12x = 7 + -2(3 + -6x) Combine like terms: 2x + -12x = -10x -36 + -10x = 7 + -2(3 + -6x) -36 + -10x = 7 + (3 * -2 + -6x * -2) -36 + -10x = 7 + (-6 + 12x) Combine like terms: 7 + -6 = 1 -36 + -10x = 1 + 12x Solving -36 + -10x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -36 + -10x + -12x = 1 + 12x + -12x Combine like terms: -10x + -12x = -22x -36 + -22x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -36 + -22x = 1 + 0 -36 + -22x = 1 Add '36' to each side of the equation. -36 + 36 + -22x = 1 + 36 Combine like terms: -36 + 36 = 0 0 + -22x = 1 + 36 -22x = 1 + 36 Combine like terms: 1 + 36 = 37 -22x = 37 Divide each side by '-22'. x = -1.681818182 Simplifying x = -1.681818182
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