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Simplifying 2(x + -4) = 5(4 + -2x) + 4x Reorder the terms: 2(-4 + x) = 5(4 + -2x) + 4x (-4 * 2 + x * 2) = 5(4 + -2x) + 4x (-8 + 2x) = 5(4 + -2x) + 4x -8 + 2x = (4 * 5 + -2x * 5) + 4x -8 + 2x = (20 + -10x) + 4x Combine like terms: -10x + 4x = -6x -8 + 2x = 20 + -6x Solving -8 + 2x = 20 + -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 = 20 + -6x + 6x Combine like terms: 2x + 6x = 8x -8 + 8x = 20 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 8x = 20 + 0 -8 + 8x = 20 Add '8' to each side of the equation. -8 + 8 + 8x = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 20 + 8 8x = 20 + 8 Combine like terms: 20 + 8 = 28 8x = 28 Divide each side by '8'. x = 3.5 Simplifying x = 3.5
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