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Simplifying 2 + -1(2x + -4) = 9 + -4(3x + 1) Reorder the terms: 2 + -1(-4 + 2x) = 9 + -4(3x + 1) 2 + (-4 * -1 + 2x * -1) = 9 + -4(3x + 1) 2 + (4 + -2x) = 9 + -4(3x + 1) Combine like terms: 2 + 4 = 6 6 + -2x = 9 + -4(3x + 1) Reorder the terms: 6 + -2x = 9 + -4(1 + 3x) 6 + -2x = 9 + (1 * -4 + 3x * -4) 6 + -2x = 9 + (-4 + -12x) Combine like terms: 9 + -4 = 5 6 + -2x = 5 + -12x Solving 6 + -2x = 5 + -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. 6 + -2x + 12x = 5 + -12x + 12x Combine like terms: -2x + 12x = 10x 6 + 10x = 5 + -12x + 12x Combine like terms: -12x + 12x = 0 6 + 10x = 5 + 0 6 + 10x = 5 Add '-6' to each side of the equation. 6 + -6 + 10x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = 5 + -6 10x = 5 + -6 Combine like terms: 5 + -6 = -1 10x = -1 Divide each side by '10'. x = -0.1 Simplifying x = -0.1
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