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Simplifying 11 + 8x = -6(2 + 2x) + -3x 11 + 8x = (2 * -6 + 2x * -6) + -3x 11 + 8x = (-12 + -12x) + -3x Combine like terms: -12x + -3x = -15x 11 + 8x = -12 + -15x Solving 11 + 8x = -12 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 11 + 8x + 15x = -12 + -15x + 15x Combine like terms: 8x + 15x = 23x 11 + 23x = -12 + -15x + 15x Combine like terms: -15x + 15x = 0 11 + 23x = -12 + 0 11 + 23x = -12 Add '-11' to each side of the equation. 11 + -11 + 23x = -12 + -11 Combine like terms: 11 + -11 = 0 0 + 23x = -12 + -11 23x = -12 + -11 Combine like terms: -12 + -11 = -23 23x = -23 Divide each side by '23'. x = -1 Simplifying x = -1
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