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Simplifying -5 + -6(x + -4) = 11 + 2x Reorder the terms: -5 + -6(-4 + x) = 11 + 2x -5 + (-4 * -6 + x * -6) = 11 + 2x -5 + (24 + -6x) = 11 + 2x Combine like terms: -5 + 24 = 19 19 + -6x = 11 + 2x Solving 19 + -6x = 11 + 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. 19 + -6x + -2x = 11 + 2x + -2x Combine like terms: -6x + -2x = -8x 19 + -8x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + -8x = 11 + 0 19 + -8x = 11 Add '-19' to each side of the equation. 19 + -19 + -8x = 11 + -19 Combine like terms: 19 + -19 = 0 0 + -8x = 11 + -19 -8x = 11 + -19 Combine like terms: 11 + -19 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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