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