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Simplifying 11x + -4(x + 9) = 8x + -1 + -6x Reorder the terms: 11x + -4(9 + x) = 8x + -1 + -6x 11x + (9 * -4 + x * -4) = 8x + -1 + -6x 11x + (-36 + -4x) = 8x + -1 + -6x Reorder the terms: -36 + 11x + -4x = 8x + -1 + -6x Combine like terms: 11x + -4x = 7x -36 + 7x = 8x + -1 + -6x Reorder the terms: -36 + 7x = -1 + 8x + -6x Combine like terms: 8x + -6x = 2x -36 + 7x = -1 + 2x Solving -36 + 7x = -1 + 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. -36 + 7x + -2x = -1 + 2x + -2x Combine like terms: 7x + -2x = 5x -36 + 5x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 5x = -1 + 0 -36 + 5x = -1 Add '36' to each side of the equation. -36 + 36 + 5x = -1 + 36 Combine like terms: -36 + 36 = 0 0 + 5x = -1 + 36 5x = -1 + 36 Combine like terms: -1 + 36 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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