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Simplifying 7[3 + -1(4 + 4x)] + -4x = -9x + 2(1 + -16x) 7[3 + (4 * -1 + 4x * -1)] + -4x = -9x + 2(1 + -16x) 7[3 + (-4 + -4x)] + -4x = -9x + 2(1 + -16x) Combine like terms: 3 + -4 = -1 7[-1 + -4x] + -4x = -9x + 2(1 + -16x) [-1 * 7 + -4x * 7] + -4x = -9x + 2(1 + -16x) [-7 + -28x] + -4x = -9x + 2(1 + -16x) Combine like terms: -28x + -4x = -32x -7 + -32x = -9x + 2(1 + -16x) -7 + -32x = -9x + (1 * 2 + -16x * 2) -7 + -32x = -9x + (2 + -32x) Reorder the terms: -7 + -32x = 2 + -9x + -32x Combine like terms: -9x + -32x = -41x -7 + -32x = 2 + -41x Solving -7 + -32x = 2 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -7 + -32x + 41x = 2 + -41x + 41x Combine like terms: -32x + 41x = 9x -7 + 9x = 2 + -41x + 41x Combine like terms: -41x + 41x = 0 -7 + 9x = 2 + 0 -7 + 9x = 2 Add '7' to each side of the equation. -7 + 7 + 9x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 9x = 2 + 7 9x = 2 + 7 Combine like terms: 2 + 7 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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