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Simplifying 9 + -3(6 + -4x) + 2x = 3x + -3(-4 + -1x) + -1 9 + (6 * -3 + -4x * -3) + 2x = 3x + -3(-4 + -1x) + -1 9 + (-18 + 12x) + 2x = 3x + -3(-4 + -1x) + -1 Combine like terms: 9 + -18 = -9 -9 + 12x + 2x = 3x + -3(-4 + -1x) + -1 Combine like terms: 12x + 2x = 14x -9 + 14x = 3x + -3(-4 + -1x) + -1 -9 + 14x = 3x + (-4 * -3 + -1x * -3) + -1 -9 + 14x = 3x + (12 + 3x) + -1 Reorder the terms: -9 + 14x = 12 + -1 + 3x + 3x Combine like terms: 12 + -1 = 11 -9 + 14x = 11 + 3x + 3x Combine like terms: 3x + 3x = 6x -9 + 14x = 11 + 6x Solving -9 + 14x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -9 + 14x + -6x = 11 + 6x + -6x Combine like terms: 14x + -6x = 8x -9 + 8x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + 8x = 11 + 0 -9 + 8x = 11 Add '9' to each side of the equation. -9 + 9 + 8x = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 8x = 11 + 9 8x = 11 + 9 Combine like terms: 11 + 9 = 20 8x = 20 Divide each side by '8'. x = 2.5 Simplifying x = 2.5
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