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Simplifying 5x + 6(2x + -4) = -11 + 4x Reorder the terms: 5x + 6(-4 + 2x) = -11 + 4x 5x + (-4 * 6 + 2x * 6) = -11 + 4x 5x + (-24 + 12x) = -11 + 4x Reorder the terms: -24 + 5x + 12x = -11 + 4x Combine like terms: 5x + 12x = 17x -24 + 17x = -11 + 4x Solving -24 + 17x = -11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 17x + -4x = -11 + 4x + -4x Combine like terms: 17x + -4x = 13x -24 + 13x = -11 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 13x = -11 + 0 -24 + 13x = -11 Add '24' to each side of the equation. -24 + 24 + 13x = -11 + 24 Combine like terms: -24 + 24 = 0 0 + 13x = -11 + 24 13x = -11 + 24 Combine like terms: -11 + 24 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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