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Simplifying 8 + -6(x + 4) + 4x = 4x + -1(2x + -5) + 11 Reorder the terms: 8 + -6(4 + x) + 4x = 4x + -1(2x + -5) + 11 8 + (4 * -6 + x * -6) + 4x = 4x + -1(2x + -5) + 11 8 + (-24 + -6x) + 4x = 4x + -1(2x + -5) + 11 Combine like terms: 8 + -24 = -16 -16 + -6x + 4x = 4x + -1(2x + -5) + 11 Combine like terms: -6x + 4x = -2x -16 + -2x = 4x + -1(2x + -5) + 11 Reorder the terms: -16 + -2x = 4x + -1(-5 + 2x) + 11 -16 + -2x = 4x + (-5 * -1 + 2x * -1) + 11 -16 + -2x = 4x + (5 + -2x) + 11 Reorder the terms: -16 + -2x = 5 + 11 + 4x + -2x Combine like terms: 5 + 11 = 16 -16 + -2x = 16 + 4x + -2x Combine like terms: 4x + -2x = 2x -16 + -2x = 16 + 2x Solving -16 + -2x = 16 + 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. -16 + -2x + -2x = 16 + 2x + -2x Combine like terms: -2x + -2x = -4x -16 + -4x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -4x = 16 + 0 -16 + -4x = 16 Add '16' to each side of the equation. -16 + 16 + -4x = 16 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 16 + 16 -4x = 16 + 16 Combine like terms: 16 + 16 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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