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Simplifying 18[5 + -1(4 + -1x)] + 14x = 4(8x + 5) + -2 18[5 + (4 * -1 + -1x * -1)] + 14x = 4(8x + 5) + -2 18[5 + (-4 + 1x)] + 14x = 4(8x + 5) + -2 Combine like terms: 5 + -4 = 1 18[1 + 1x] + 14x = 4(8x + 5) + -2 [1 * 18 + 1x * 18] + 14x = 4(8x + 5) + -2 [18 + 18x] + 14x = 4(8x + 5) + -2 Combine like terms: 18x + 14x = 32x 18 + 32x = 4(8x + 5) + -2 Reorder the terms: 18 + 32x = 4(5 + 8x) + -2 18 + 32x = (5 * 4 + 8x * 4) + -2 18 + 32x = (20 + 32x) + -2 Reorder the terms: 18 + 32x = 20 + -2 + 32x Combine like terms: 20 + -2 = 18 18 + 32x = 18 + 32x Add '-18' to each side of the equation. 18 + -18 + 32x = 18 + -18 + 32x Combine like terms: 18 + -18 = 0 0 + 32x = 18 + -18 + 32x 32x = 18 + -18 + 32x Combine like terms: 18 + -18 = 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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