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Simplifying 4(x + -3) + 6 = 7x + -1(3x + 2) + -4 Reorder the terms: 4(-3 + x) + 6 = 7x + -1(3x + 2) + -4 (-3 * 4 + x * 4) + 6 = 7x + -1(3x + 2) + -4 (-12 + 4x) + 6 = 7x + -1(3x + 2) + -4 Reorder the terms: -12 + 6 + 4x = 7x + -1(3x + 2) + -4 Combine like terms: -12 + 6 = -6 -6 + 4x = 7x + -1(3x + 2) + -4 Reorder the terms: -6 + 4x = 7x + -1(2 + 3x) + -4 -6 + 4x = 7x + (2 * -1 + 3x * -1) + -4 -6 + 4x = 7x + (-2 + -3x) + -4 Reorder the terms: -6 + 4x = -2 + -4 + 7x + -3x Combine like terms: -2 + -4 = -6 -6 + 4x = -6 + 7x + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = -6 + 4x Add '6' to each side of the equation. -6 + 6 + 4x = -6 + 6 + 4x Combine like terms: -6 + 6 = 0 0 + 4x = -6 + 6 + 4x 4x = -6 + 6 + 4x Combine like terms: -6 + 6 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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