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Simplifying 7[3 + -1(5 + 4x)] = -16 + 2(1 + -16x) 7[3 + (5 * -1 + 4x * -1)] = -16 + 2(1 + -16x) 7[3 + (-5 + -4x)] = -16 + 2(1 + -16x) Combine like terms: 3 + -5 = -2 7[-2 + -4x] = -16 + 2(1 + -16x) [-2 * 7 + -4x * 7] = -16 + 2(1 + -16x) [-14 + -28x] = -16 + 2(1 + -16x) -14 + -28x = -16 + (1 * 2 + -16x * 2) -14 + -28x = -16 + (2 + -32x) Combine like terms: -16 + 2 = -14 -14 + -28x = -14 + -32x Add '14' to each side of the equation. -14 + 14 + -28x = -14 + 14 + -32x Combine like terms: -14 + 14 = 0 0 + -28x = -14 + 14 + -32x -28x = -14 + 14 + -32x Combine like terms: -14 + 14 = 0 -28x = 0 + -32x -28x = -32x Solving -28x = -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -28x + 32x = -32x + 32x Combine like terms: -28x + 32x = 4x 4x = -32x + 32x Combine like terms: -32x + 32x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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