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