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Simplifying 2x + -4(x + 8) = 6x + 8 Reorder the terms: 2x + -4(8 + x) = 6x + 8 2x + (8 * -4 + x * -4) = 6x + 8 2x + (-32 + -4x) = 6x + 8 Reorder the terms: -32 + 2x + -4x = 6x + 8 Combine like terms: 2x + -4x = -2x -32 + -2x = 6x + 8 Reorder the terms: -32 + -2x = 8 + 6x Solving -32 + -2x = 8 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -32 + -2x + -6x = 8 + 6x + -6x Combine like terms: -2x + -6x = -8x -32 + -8x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -32 + -8x = 8 + 0 -32 + -8x = 8 Add '32' to each side of the equation. -32 + 32 + -8x = 8 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = 8 + 32 -8x = 8 + 32 Combine like terms: 8 + 32 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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