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Simplifying 3x + 1 = 3[x + -1] + 4 Reorder the terms: 1 + 3x = 3[x + -1] + 4 Reorder the terms: 1 + 3x = 3[-1 + x] + 4 1 + 3x = [-1 * 3 + x * 3] + 4 1 + 3x = [-3 + 3x] + 4 Reorder the terms: 1 + 3x = -3 + 4 + 3x Combine like terms: -3 + 4 = 1 1 + 3x = 1 + 3x Add '-1' to each side of the equation. 1 + -1 + 3x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 0 + 3x = 1 + -1 + 3x 3x = 1 + -1 + 3x Combine like terms: 1 + -1 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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