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Simplifying 4 + -1(4x + 9) = 16 + -7x Reorder the terms: 4 + -1(9 + 4x) = 16 + -7x 4 + (9 * -1 + 4x * -1) = 16 + -7x 4 + (-9 + -4x) = 16 + -7x Combine like terms: 4 + -9 = -5 -5 + -4x = 16 + -7x Solving -5 + -4x = 16 + -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. -5 + -4x + 7x = 16 + -7x + 7x Combine like terms: -4x + 7x = 3x -5 + 3x = 16 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 3x = 16 + 0 -5 + 3x = 16 Add '5' to each side of the equation. -5 + 5 + 3x = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 16 + 5 3x = 16 + 5 Combine like terms: 16 + 5 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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