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Simplifying 6x + -1(37 + -13x) = 21x + -1(2x + 37) 6x + (37 * -1 + -13x * -1) = 21x + -1(2x + 37) 6x + (-37 + 13x) = 21x + -1(2x + 37) Reorder the terms: -37 + 6x + 13x = 21x + -1(2x + 37) Combine like terms: 6x + 13x = 19x -37 + 19x = 21x + -1(2x + 37) Reorder the terms: -37 + 19x = 21x + -1(37 + 2x) -37 + 19x = 21x + (37 * -1 + 2x * -1) -37 + 19x = 21x + (-37 + -2x) Reorder the terms: -37 + 19x = -37 + 21x + -2x Combine like terms: 21x + -2x = 19x -37 + 19x = -37 + 19x Add '37' to each side of the equation. -37 + 37 + 19x = -37 + 37 + 19x Combine like terms: -37 + 37 = 0 0 + 19x = -37 + 37 + 19x 19x = -37 + 37 + 19x Combine like terms: -37 + 37 = 0 19x = 0 + 19x 19x = 19x Add '-19x' to each side of the equation. 19x + -19x = 19x + -19x Combine like terms: 19x + -19x = 0 0 = 19x + -19x Combine like terms: 19x + -19x = 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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