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Simplifying 7x + -2 = 3(x + 1) + 4x + -5 Reorder the terms: -2 + 7x = 3(x + 1) + 4x + -5 Reorder the terms: -2 + 7x = 3(1 + x) + 4x + -5 -2 + 7x = (1 * 3 + x * 3) + 4x + -5 -2 + 7x = (3 + 3x) + 4x + -5 Reorder the terms: -2 + 7x = 3 + -5 + 3x + 4x Combine like terms: 3 + -5 = -2 -2 + 7x = -2 + 3x + 4x Combine like terms: 3x + 4x = 7x -2 + 7x = -2 + 7x Add '2' to each side of the equation. -2 + 2 + 7x = -2 + 2 + 7x Combine like terms: -2 + 2 = 0 0 + 7x = -2 + 2 + 7x 7x = -2 + 2 + 7x Combine like terms: -2 + 2 = 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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