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Simplifying 7[2 + -1(4 + 4x)] + -4 = -16 + 2(1 + -16x) 7[2 + (4 * -1 + 4x * -1)] + -4 = -16 + 2(1 + -16x) 7[2 + (-4 + -4x)] + -4 = -16 + 2(1 + -16x) Combine like terms: 2 + -4 = -2 7[-2 + -4x] + -4 = -16 + 2(1 + -16x) [-2 * 7 + -4x * 7] + -4 = -16 + 2(1 + -16x) [-14 + -28x] + -4 = -16 + 2(1 + -16x) Reorder the terms: -14 + -4 + -28x = -16 + 2(1 + -16x) Combine like terms: -14 + -4 = -18 -18 + -28x = -16 + 2(1 + -16x) -18 + -28x = -16 + (1 * 2 + -16x * 2) -18 + -28x = -16 + (2 + -32x) Combine like terms: -16 + 2 = -14 -18 + -28x = -14 + -32x Solving -18 + -28x = -14 + -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. -18 + -28x + 32x = -14 + -32x + 32x Combine like terms: -28x + 32x = 4x -18 + 4x = -14 + -32x + 32x Combine like terms: -32x + 32x = 0 -18 + 4x = -14 + 0 -18 + 4x = -14 Add '18' to each side of the equation. -18 + 18 + 4x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 4x = -14 + 18 4x = -14 + 18 Combine like terms: -14 + 18 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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