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Simplifying 7[5 + -1(4 + -4x)] + 4x = 4(8x + 2) + -1 7[5 + (4 * -1 + -4x * -1)] + 4x = 4(8x + 2) + -1 7[5 + (-4 + 4x)] + 4x = 4(8x + 2) + -1 Combine like terms: 5 + -4 = 1 7[1 + 4x] + 4x = 4(8x + 2) + -1 [1 * 7 + 4x * 7] + 4x = 4(8x + 2) + -1 [7 + 28x] + 4x = 4(8x + 2) + -1 Combine like terms: 28x + 4x = 32x 7 + 32x = 4(8x + 2) + -1 Reorder the terms: 7 + 32x = 4(2 + 8x) + -1 7 + 32x = (2 * 4 + 8x * 4) + -1 7 + 32x = (8 + 32x) + -1 Reorder the terms: 7 + 32x = 8 + -1 + 32x Combine like terms: 8 + -1 = 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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