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Simplifying 7 + -1(x + 1) = 3(x + 3) + -4x + -3 Reorder the terms: 7 + -1(1 + x) = 3(x + 3) + -4x + -3 7 + (1 * -1 + x * -1) = 3(x + 3) + -4x + -3 7 + (-1 + -1x) = 3(x + 3) + -4x + -3 Combine like terms: 7 + -1 = 6 6 + -1x = 3(x + 3) + -4x + -3 Reorder the terms: 6 + -1x = 3(3 + x) + -4x + -3 6 + -1x = (3 * 3 + x * 3) + -4x + -3 6 + -1x = (9 + 3x) + -4x + -3 Reorder the terms: 6 + -1x = 9 + -3 + 3x + -4x Combine like terms: 9 + -3 = 6 6 + -1x = 6 + 3x + -4x Combine like terms: 3x + -4x = -1x 6 + -1x = 6 + -1x Add '-6' to each side of the equation. 6 + -6 + -1x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 0 + -1x = 6 + -6 + -1x -1x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 -1x = 0 + -1x -1x = -1x Add 'x' to each side of the equation. -1x + x = -1x + x Combine like terms: -1x + x = 0 0 = -1x + x Combine like terms: -1x + x = 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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