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Simplifying 18[3 + -1(2 + -2x)] + 4x = 5(8x + 5) + -7 18[3 + (2 * -1 + -2x * -1)] + 4x = 5(8x + 5) + -7 18[3 + (-2 + 2x)] + 4x = 5(8x + 5) + -7 Combine like terms: 3 + -2 = 1 18[1 + 2x] + 4x = 5(8x + 5) + -7 [1 * 18 + 2x * 18] + 4x = 5(8x + 5) + -7 [18 + 36x] + 4x = 5(8x + 5) + -7 Combine like terms: 36x + 4x = 40x 18 + 40x = 5(8x + 5) + -7 Reorder the terms: 18 + 40x = 5(5 + 8x) + -7 18 + 40x = (5 * 5 + 8x * 5) + -7 18 + 40x = (25 + 40x) + -7 Reorder the terms: 18 + 40x = 25 + -7 + 40x Combine like terms: 25 + -7 = 18 18 + 40x = 18 + 40x Add '-18' to each side of the equation. 18 + -18 + 40x = 18 + -18 + 40x Combine like terms: 18 + -18 = 0 0 + 40x = 18 + -18 + 40x 40x = 18 + -18 + 40x Combine like terms: 18 + -18 = 0 40x = 0 + 40x 40x = 40x Add '-40x' to each side of the equation. 40x + -40x = 40x + -40x Combine like terms: 40x + -40x = 0 0 = 40x + -40x Combine like terms: 40x + -40x = 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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