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Simplifying -4(4x + 4) = 2x + -52 Reorder the terms: -4(4 + 4x) = 2x + -52 (4 * -4 + 4x * -4) = 2x + -52 (-16 + -16x) = 2x + -52 Reorder the terms: -16 + -16x = -52 + 2x Solving -16 + -16x = -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. -16 + -16x + -2x = -52 + 2x + -2x Combine like terms: -16x + -2x = -18x -16 + -18x = -52 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -18x = -52 + 0 -16 + -18x = -52 Add '16' to each side of the equation. -16 + 16 + -18x = -52 + 16 Combine like terms: -16 + 16 = 0 0 + -18x = -52 + 16 -18x = -52 + 16 Combine like terms: -52 + 16 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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