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Simplifying 5x + 2(3x + (-4)) = 3x + 8 5x + 2(3x + -4) = 3x + 8 Reorder the terms: 5x + 2(-4 + 3x) = 3x + 8 5x + (-4 * 2 + 3x * 2) = 3x + 8 5x + (-8 + 6x) = 3x + 8 Reorder the terms: -8 + 5x + 6x = 3x + 8 Combine like terms: 5x + 6x = 11x -8 + 11x = 3x + 8 Reorder the terms: -8 + 11x = 8 + 3x Solving -8 + 11x = 8 + 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. -8 + 11x + -3x = 8 + 3x + -3x Combine like terms: 11x + -3x = 8x -8 + 8x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 8x = 8 + 0 -8 + 8x = 8 Add '8' to each side of the equation. -8 + 8 + 8x = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 8 + 8 8x = 8 + 8 Combine like terms: 8 + 8 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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