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Simplifying 4(4x + 4) = -38 + 7x Reorder the terms: 4(4 + 4x) = -38 + 7x (4 * 4 + 4x * 4) = -38 + 7x (16 + 16x) = -38 + 7x Solving 16 + 16x = -38 + 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 + 16x + -7x = -38 + 7x + -7x Combine like terms: 16x + -7x = 9x 16 + 9x = -38 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + 9x = -38 + 0 16 + 9x = -38 Add '-16' to each side of the equation. 16 + -16 + 9x = -38 + -16 Combine like terms: 16 + -16 = 0 0 + 9x = -38 + -16 9x = -38 + -16 Combine like terms: -38 + -16 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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