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Simplifying 4(4 + 2x) = 7(x + -4) (4 * 4 + 2x * 4) = 7(x + -4) (16 + 8x) = 7(x + -4) Reorder the terms: 16 + 8x = 7(-4 + x) 16 + 8x = (-4 * 7 + x * 7) 16 + 8x = (-28 + 7x) Solving 16 + 8x = -28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + 8x + -7x = -28 + 7x + -7x Combine like terms: 8x + -7x = 1x 16 + 1x = -28 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 1x = -28 + 0 16 + 1x = -28 Add '-16' to each side of the equation. 16 + -16 + 1x = -28 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = -28 + -16 1x = -28 + -16 Combine like terms: -28 + -16 = -44 1x = -44 Divide each side by '1'. x = -44 Simplifying x = -44
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