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Simplifying 5x + -4(6 + -3x) = 11 + 2x 5x + (6 * -4 + -3x * -4) = 11 + 2x 5x + (-24 + 12x) = 11 + 2x Reorder the terms: -24 + 5x + 12x = 11 + 2x Combine like terms: 5x + 12x = 17x -24 + 17x = 11 + 2x Solving -24 + 17x = 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. -24 + 17x + -2x = 11 + 2x + -2x Combine like terms: 17x + -2x = 15x -24 + 15x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 15x = 11 + 0 -24 + 15x = 11 Add '24' to each side of the equation. -24 + 24 + 15x = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 15x = 11 + 24 15x = 11 + 24 Combine like terms: 11 + 24 = 35 15x = 35 Divide each side by '15'. x = 2.333333333 Simplifying x = 2.333333333
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