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Simplifying 2x + 4(x + -4) = 2(x + -4) Reorder the terms: 2x + 4(-4 + x) = 2(x + -4) 2x + (-4 * 4 + x * 4) = 2(x + -4) 2x + (-16 + 4x) = 2(x + -4) Reorder the terms: -16 + 2x + 4x = 2(x + -4) Combine like terms: 2x + 4x = 6x -16 + 6x = 2(x + -4) Reorder the terms: -16 + 6x = 2(-4 + x) -16 + 6x = (-4 * 2 + x * 2) -16 + 6x = (-8 + 2x) Solving -16 + 6x = -8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + 6x + -2x = -8 + 2x + -2x Combine like terms: 6x + -2x = 4x -16 + 4x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + 4x = -8 + 0 -16 + 4x = -8 Add '16' to each side of the equation. -16 + 16 + 4x = -8 + 16 Combine like terms: -16 + 16 = 0 0 + 4x = -8 + 16 4x = -8 + 16 Combine like terms: -8 + 16 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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