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Simplifying 7[3 + -1(2 + -4x)] + 4x = 4(8x + 3) + -5 7[3 + (2 * -1 + -4x * -1)] + 4x = 4(8x + 3) + -5 7[3 + (-2 + 4x)] + 4x = 4(8x + 3) + -5 Combine like terms: 3 + -2 = 1 7[1 + 4x] + 4x = 4(8x + 3) + -5 [1 * 7 + 4x * 7] + 4x = 4(8x + 3) + -5 [7 + 28x] + 4x = 4(8x + 3) + -5 Combine like terms: 28x + 4x = 32x 7 + 32x = 4(8x + 3) + -5 Reorder the terms: 7 + 32x = 4(3 + 8x) + -5 7 + 32x = (3 * 4 + 8x * 4) + -5 7 + 32x = (12 + 32x) + -5 Reorder the terms: 7 + 32x = 12 + -5 + 32x Combine like terms: 12 + -5 = 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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