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Simplifying 4(2x + -16) = 2(2x + 28) Reorder the terms: 4(-16 + 2x) = 2(2x + 28) (-16 * 4 + 2x * 4) = 2(2x + 28) (-64 + 8x) = 2(2x + 28) Reorder the terms: -64 + 8x = 2(28 + 2x) -64 + 8x = (28 * 2 + 2x * 2) -64 + 8x = (56 + 4x) Solving -64 + 8x = 56 + 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. -64 + 8x + -4x = 56 + 4x + -4x Combine like terms: 8x + -4x = 4x -64 + 4x = 56 + 4x + -4x Combine like terms: 4x + -4x = 0 -64 + 4x = 56 + 0 -64 + 4x = 56 Add '64' to each side of the equation. -64 + 64 + 4x = 56 + 64 Combine like terms: -64 + 64 = 0 0 + 4x = 56 + 64 4x = 56 + 64 Combine like terms: 56 + 64 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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