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Simplifying 4(x + -8) + 2x = 8 + -2x Reorder the terms: 4(-8 + x) + 2x = 8 + -2x (-8 * 4 + x * 4) + 2x = 8 + -2x (-32 + 4x) + 2x = 8 + -2x Combine like terms: 4x + 2x = 6x -32 + 6x = 8 + -2x Solving -32 + 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. -32 + 6x + 2x = 8 + -2x + 2x Combine like terms: 6x + 2x = 8x -32 + 8x = 8 + -2x + 2x Combine like terms: -2x + 2x = 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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