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Simplifying -11x + 2(x + -3) + 6x = 9x + -54 Reorder the terms: -11x + 2(-3 + x) + 6x = 9x + -54 -11x + (-3 * 2 + x * 2) + 6x = 9x + -54 -11x + (-6 + 2x) + 6x = 9x + -54 Reorder the terms: -6 + -11x + 2x + 6x = 9x + -54 Combine like terms: -11x + 2x = -9x -6 + -9x + 6x = 9x + -54 Combine like terms: -9x + 6x = -3x -6 + -3x = 9x + -54 Reorder the terms: -6 + -3x = -54 + 9x Solving -6 + -3x = -54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + -3x + -9x = -54 + 9x + -9x Combine like terms: -3x + -9x = -12x -6 + -12x = -54 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -12x = -54 + 0 -6 + -12x = -54 Add '6' to each side of the equation. -6 + 6 + -12x = -54 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = -54 + 6 -12x = -54 + 6 Combine like terms: -54 + 6 = -48 -12x = -48 Divide each side by '-12'. x = 4 Simplifying x = 4
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