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Simplifying 11x + x = 8(x + 1) + -4(8x + 11) Combine like terms: 11x + x = 12x 12x = 8(x + 1) + -4(8x + 11) Reorder the terms: 12x = 8(1 + x) + -4(8x + 11) 12x = (1 * 8 + x * 8) + -4(8x + 11) 12x = (8 + 8x) + -4(8x + 11) Reorder the terms: 12x = 8 + 8x + -4(11 + 8x) 12x = 8 + 8x + (11 * -4 + 8x * -4) 12x = 8 + 8x + (-44 + -32x) Reorder the terms: 12x = 8 + -44 + 8x + -32x Combine like terms: 8 + -44 = -36 12x = -36 + 8x + -32x Combine like terms: 8x + -32x = -24x 12x = -36 + -24x Solving 12x = -36 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 12x + 24x = -36 + -24x + 24x Combine like terms: 12x + 24x = 36x 36x = -36 + -24x + 24x Combine like terms: -24x + 24x = 0 36x = -36 + 0 36x = -36 Divide each side by '36'. x = -1 Simplifying x = -1
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