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Simplifying 2(x + -4) = 4(2x + 1) Reorder the terms: 2(-4 + x) = 4(2x + 1) (-4 * 2 + x * 2) = 4(2x + 1) (-8 + 2x) = 4(2x + 1) Reorder the terms: -8 + 2x = 4(1 + 2x) -8 + 2x = (1 * 4 + 2x * 4) -8 + 2x = (4 + 8x) Solving -8 + 2x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 2x + -8x = 4 + 8x + -8x Combine like terms: 2x + -8x = -6x -8 + -6x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + -6x = 4 + 0 -8 + -6x = 4 Add '8' to each side of the equation. -8 + 8 + -6x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = 4 + 8 -6x = 4 + 8 Combine like terms: 4 + 8 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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