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Simplifying 2 + -1(-8x + -4) + 3x = 6x + -54 Reorder the terms: 2 + -1(-4 + -8x) + 3x = 6x + -54 2 + (-4 * -1 + -8x * -1) + 3x = 6x + -54 2 + (4 + 8x) + 3x = 6x + -54 Combine like terms: 2 + 4 = 6 6 + 8x + 3x = 6x + -54 Combine like terms: 8x + 3x = 11x 6 + 11x = 6x + -54 Reorder the terms: 6 + 11x = -54 + 6x Solving 6 + 11x = -54 + 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. 6 + 11x + -6x = -54 + 6x + -6x Combine like terms: 11x + -6x = 5x 6 + 5x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 5x = -54 + 0 6 + 5x = -54 Add '-6' to each side of the equation. 6 + -6 + 5x = -54 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -54 + -6 5x = -54 + -6 Combine like terms: -54 + -6 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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