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Simplifying 9 + -2(x + -3) + 2x + 3(2 + -4x) = -8x + 2(3x + -1) Reorder the terms: 9 + -2(-3 + x) + 2x + 3(2 + -4x) = -8x + 2(3x + -1) 9 + (-3 * -2 + x * -2) + 2x + 3(2 + -4x) = -8x + 2(3x + -1) 9 + (6 + -2x) + 2x + 3(2 + -4x) = -8x + 2(3x + -1) 9 + 6 + -2x + 2x + (2 * 3 + -4x * 3) = -8x + 2(3x + -1) 9 + 6 + -2x + 2x + (6 + -12x) = -8x + 2(3x + -1) Reorder the terms: 9 + 6 + 6 + -2x + 2x + -12x = -8x + 2(3x + -1) Combine like terms: 9 + 6 = 15 15 + 6 + -2x + 2x + -12x = -8x + 2(3x + -1) Combine like terms: 15 + 6 = 21 21 + -2x + 2x + -12x = -8x + 2(3x + -1) Combine like terms: -2x + 2x = 0 21 + 0 + -12x = -8x + 2(3x + -1) 21 + -12x = -8x + 2(3x + -1) Reorder the terms: 21 + -12x = -8x + 2(-1 + 3x) 21 + -12x = -8x + (-1 * 2 + 3x * 2) 21 + -12x = -8x + (-2 + 6x) Reorder the terms: 21 + -12x = -2 + -8x + 6x Combine like terms: -8x + 6x = -2x 21 + -12x = -2 + -2x Solving 21 + -12x = -2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 21 + -12x + 2x = -2 + -2x + 2x Combine like terms: -12x + 2x = -10x 21 + -10x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 21 + -10x = -2 + 0 21 + -10x = -2 Add '-21' to each side of the equation. 21 + -21 + -10x = -2 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = -2 + -21 -10x = -2 + -21 Combine like terms: -2 + -21 = -23 -10x = -23 Divide each side by '-10'. x = 2.3 Simplifying x = 2.3
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