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Simplifying 2(x + -4) = 2(3x + 8) Reorder the terms: 2(-4 + x) = 2(3x + 8) (-4 * 2 + x * 2) = 2(3x + 8) (-8 + 2x) = 2(3x + 8) Reorder the terms: -8 + 2x = 2(8 + 3x) -8 + 2x = (8 * 2 + 3x * 2) -8 + 2x = (16 + 6x) Solving -8 + 2x = 16 + 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. -8 + 2x + -6x = 16 + 6x + -6x Combine like terms: 2x + -6x = -4x -8 + -4x = 16 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -4x = 16 + 0 -8 + -4x = 16 Add '8' to each side of the equation. -8 + 8 + -4x = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 16 + 8 -4x = 16 + 8 Combine like terms: 16 + 8 = 24 -4x = 24 Divide each side by '-4'. x = -6 Simplifying x = -6
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