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Simplifying 7(x + -1) + -5 = 3x + 4(-3 + x) Reorder the terms: 7(-1 + x) + -5 = 3x + 4(-3 + x) (-1 * 7 + x * 7) + -5 = 3x + 4(-3 + x) (-7 + 7x) + -5 = 3x + 4(-3 + x) Reorder the terms: -7 + -5 + 7x = 3x + 4(-3 + x) Combine like terms: -7 + -5 = -12 -12 + 7x = 3x + 4(-3 + x) -12 + 7x = 3x + (-3 * 4 + x * 4) -12 + 7x = 3x + (-12 + 4x) Reorder the terms: -12 + 7x = -12 + 3x + 4x Combine like terms: 3x + 4x = 7x -12 + 7x = -12 + 7x Add '12' to each side of the equation. -12 + 12 + 7x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 0 + 7x = -12 + 12 + 7x 7x = -12 + 12 + 7x Combine like terms: -12 + 12 = 0 7x = 0 + 7x 7x = 7x Add '-7x' to each side of the equation. 7x + -7x = 7x + -7x Combine like terms: 7x + -7x = 0 0 = 7x + -7x Combine like terms: 7x + -7x = 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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