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Simplifying 4(x + -1) = -4x + 52 Reorder the terms: 4(-1 + x) = -4x + 52 (-1 * 4 + x * 4) = -4x + 52 (-4 + 4x) = -4x + 52 Reorder the terms: -4 + 4x = 52 + -4x Solving -4 + 4x = 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. -4 + 4x + 4x = 52 + -4x + 4x Combine like terms: 4x + 4x = 8x -4 + 8x = 52 + -4x + 4x Combine like terms: -4x + 4x = 0 -4 + 8x = 52 + 0 -4 + 8x = 52 Add '4' to each side of the equation. -4 + 4 + 8x = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 52 + 4 8x = 52 + 4 Combine like terms: 52 + 4 = 56 8x = 56 Divide each side by '8'. x = 7 Simplifying x = 7
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