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Simplifying 7(x + -3) + -3x + 1 = 4(x + -5) Reorder the terms: 7(-3 + x) + -3x + 1 = 4(x + -5) (-3 * 7 + x * 7) + -3x + 1 = 4(x + -5) (-21 + 7x) + -3x + 1 = 4(x + -5) Reorder the terms: -21 + 1 + 7x + -3x = 4(x + -5) Combine like terms: -21 + 1 = -20 -20 + 7x + -3x = 4(x + -5) Combine like terms: 7x + -3x = 4x -20 + 4x = 4(x + -5) Reorder the terms: -20 + 4x = 4(-5 + x) -20 + 4x = (-5 * 4 + x * 4) -20 + 4x = (-20 + 4x) Add '20' to each side of the equation. -20 + 20 + 4x = -20 + 20 + 4x Combine like terms: -20 + 20 = 0 0 + 4x = -20 + 20 + 4x 4x = -20 + 20 + 4x Combine like terms: -20 + 20 = 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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