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Simplifying 7x + 5 = 8 + 3(x + -1) + 4x Reorder the terms: 5 + 7x = 8 + 3(x + -1) + 4x Reorder the terms: 5 + 7x = 8 + 3(-1 + x) + 4x 5 + 7x = 8 + (-1 * 3 + x * 3) + 4x 5 + 7x = 8 + (-3 + 3x) + 4x Combine like terms: 8 + -3 = 5 5 + 7x = 5 + 3x + 4x Combine like terms: 3x + 4x = 7x 5 + 7x = 5 + 7x Add '-5' to each side of the equation. 5 + -5 + 7x = 5 + -5 + 7x Combine like terms: 5 + -5 = 0 0 + 7x = 5 + -5 + 7x 7x = 5 + -5 + 7x Combine like terms: 5 + -5 = 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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