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