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Simplifying 8(x + -3) = 4x + -52 Reorder the terms: 8(-3 + x) = 4x + -52 (-3 * 8 + x * 8) = 4x + -52 (-24 + 8x) = 4x + -52 Reorder the terms: -24 + 8x = -52 + 4x Solving -24 + 8x = -52 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -24 + 8x + -4x = -52 + 4x + -4x Combine like terms: 8x + -4x = 4x -24 + 4x = -52 + 4x + -4x Combine like terms: 4x + -4x = 0 -24 + 4x = -52 + 0 -24 + 4x = -52 Add '24' to each side of the equation. -24 + 24 + 4x = -52 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = -52 + 24 4x = -52 + 24 Combine like terms: -52 + 24 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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