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Simplifying 2x + -4(x + 8) = 3x + 8 Reorder the terms: 2x + -4(8 + x) = 3x + 8 2x + (8 * -4 + x * -4) = 3x + 8 2x + (-32 + -4x) = 3x + 8 Reorder the terms: -32 + 2x + -4x = 3x + 8 Combine like terms: 2x + -4x = -2x -32 + -2x = 3x + 8 Reorder the terms: -32 + -2x = 8 + 3x Solving -32 + -2x = 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. -32 + -2x + -3x = 8 + 3x + -3x Combine like terms: -2x + -3x = -5x -32 + -5x = 8 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -5x = 8 + 0 -32 + -5x = 8 Add '32' to each side of the equation. -32 + 32 + -5x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -5x = 8 + 32 -5x = 8 + 32 Combine like terms: 8 + 32 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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