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Simplifying 2x + 4(2x + -6) = -11 + -3x Reorder the terms: 2x + 4(-6 + 2x) = -11 + -3x 2x + (-6 * 4 + 2x * 4) = -11 + -3x 2x + (-24 + 8x) = -11 + -3x Reorder the terms: -24 + 2x + 8x = -11 + -3x Combine like terms: 2x + 8x = 10x -24 + 10x = -11 + -3x Solving -24 + 10x = -11 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -24 + 10x + 3x = -11 + -3x + 3x Combine like terms: 10x + 3x = 13x -24 + 13x = -11 + -3x + 3x Combine like terms: -3x + 3x = 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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