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Simplifying 5[5 + -1(4 + -2x)] + 4x = 2(7x + 3) + -1 5[5 + (4 * -1 + -2x * -1)] + 4x = 2(7x + 3) + -1 5[5 + (-4 + 2x)] + 4x = 2(7x + 3) + -1 Combine like terms: 5 + -4 = 1 5[1 + 2x] + 4x = 2(7x + 3) + -1 [1 * 5 + 2x * 5] + 4x = 2(7x + 3) + -1 [5 + 10x] + 4x = 2(7x + 3) + -1 Combine like terms: 10x + 4x = 14x 5 + 14x = 2(7x + 3) + -1 Reorder the terms: 5 + 14x = 2(3 + 7x) + -1 5 + 14x = (3 * 2 + 7x * 2) + -1 5 + 14x = (6 + 14x) + -1 Reorder the terms: 5 + 14x = 6 + -1 + 14x Combine like terms: 6 + -1 = 5 5 + 14x = 5 + 14x Add '-5' to each side of the equation. 5 + -5 + 14x = 5 + -5 + 14x Combine like terms: 5 + -5 = 0 0 + 14x = 5 + -5 + 14x 14x = 5 + -5 + 14x Combine like terms: 5 + -5 = 0 14x = 0 + 14x 14x = 14x Add '-14x' to each side of the equation. 14x + -14x = 14x + -14x Combine like terms: 14x + -14x = 0 0 = 14x + -14x Combine like terms: 14x + -14x = 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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