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Simplifying 7[3 + -1(4 + 4x)] + -4x = -9 + 2(1 + -16x) 7[3 + (4 * -1 + 4x * -1)] + -4x = -9 + 2(1 + -16x) 7[3 + (-4 + -4x)] + -4x = -9 + 2(1 + -16x) Combine like terms: 3 + -4 = -1 7[-1 + -4x] + -4x = -9 + 2(1 + -16x) [-1 * 7 + -4x * 7] + -4x = -9 + 2(1 + -16x) [-7 + -28x] + -4x = -9 + 2(1 + -16x) Combine like terms: -28x + -4x = -32x -7 + -32x = -9 + 2(1 + -16x) -7 + -32x = -9 + (1 * 2 + -16x * 2) -7 + -32x = -9 + (2 + -32x) Combine like terms: -9 + 2 = -7 -7 + -32x = -7 + -32x Add '7' to each side of the equation. -7 + 7 + -32x = -7 + 7 + -32x Combine like terms: -7 + 7 = 0 0 + -32x = -7 + 7 + -32x -32x = -7 + 7 + -32x Combine like terms: -7 + 7 = 0 -32x = 0 + -32x -32x = -32x Add '32x' to each side of the equation. -32x + 32x = -32x + 32x Combine like terms: -32x + 32x = 0 0 = -32x + 32x Combine like terms: -32x + 32x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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