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Simplifying 14[3 + -1(2 + -2x)] + 4x = 4(8x + 5) + -6 14[3 + (2 * -1 + -2x * -1)] + 4x = 4(8x + 5) + -6 14[3 + (-2 + 2x)] + 4x = 4(8x + 5) + -6 Combine like terms: 3 + -2 = 1 14[1 + 2x] + 4x = 4(8x + 5) + -6 [1 * 14 + 2x * 14] + 4x = 4(8x + 5) + -6 [14 + 28x] + 4x = 4(8x + 5) + -6 Combine like terms: 28x + 4x = 32x 14 + 32x = 4(8x + 5) + -6 Reorder the terms: 14 + 32x = 4(5 + 8x) + -6 14 + 32x = (5 * 4 + 8x * 4) + -6 14 + 32x = (20 + 32x) + -6 Reorder the terms: 14 + 32x = 20 + -6 + 32x Combine like terms: 20 + -6 = 14 14 + 32x = 14 + 32x Add '-14' to each side of the equation. 14 + -14 + 32x = 14 + -14 + 32x Combine like terms: 14 + -14 = 0 0 + 32x = 14 + -14 + 32x 32x = 14 + -14 + 32x Combine like terms: 14 + -14 = 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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