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Simplifying 4(x + -8) = 52 + -2x Reorder the terms: 4(-8 + x) = 52 + -2x (-8 * 4 + x * 4) = 52 + -2x (-32 + 4x) = 52 + -2x Solving -32 + 4x = 52 + -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 + 4x + 2x = 52 + -2x + 2x Combine like terms: 4x + 2x = 6x -32 + 6x = 52 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 6x = 52 + 0 -32 + 6x = 52 Add '32' to each side of the equation. -32 + 32 + 6x = 52 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 52 + 32 6x = 52 + 32 Combine like terms: 52 + 32 = 84 6x = 84 Divide each side by '6'. x = 14 Simplifying x = 14
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