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Simplifying 4(2x + -6) = 3x + 11 Reorder the terms: 4(-6 + 2x) = 3x + 11 (-6 * 4 + 2x * 4) = 3x + 11 (-24 + 8x) = 3x + 11 Reorder the terms: -24 + 8x = 11 + 3x Solving -24 + 8x = 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 + 8x + -3x = 11 + 3x + -3x Combine like terms: 8x + -3x = 5x -24 + 5x = 11 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 5x = 11 + 0 -24 + 5x = 11 Add '24' to each side of the equation. -24 + 24 + 5x = 11 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 11 + 24 5x = 11 + 24 Combine like terms: 11 + 24 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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