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Simplifying 13[3 + -1(2 + -2x)] + 6x = 4(8x + 4) + -3 13[3 + (2 * -1 + -2x * -1)] + 6x = 4(8x + 4) + -3 13[3 + (-2 + 2x)] + 6x = 4(8x + 4) + -3 Combine like terms: 3 + -2 = 1 13[1 + 2x] + 6x = 4(8x + 4) + -3 [1 * 13 + 2x * 13] + 6x = 4(8x + 4) + -3 [13 + 26x] + 6x = 4(8x + 4) + -3 Combine like terms: 26x + 6x = 32x 13 + 32x = 4(8x + 4) + -3 Reorder the terms: 13 + 32x = 4(4 + 8x) + -3 13 + 32x = (4 * 4 + 8x * 4) + -3 13 + 32x = (16 + 32x) + -3 Reorder the terms: 13 + 32x = 16 + -3 + 32x Combine like terms: 16 + -3 = 13 13 + 32x = 13 + 32x Add '-13' to each side of the equation. 13 + -13 + 32x = 13 + -13 + 32x Combine like terms: 13 + -13 = 0 0 + 32x = 13 + -13 + 32x 32x = 13 + -13 + 32x Combine like terms: 13 + -13 = 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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