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Simplifying 4x + 42 = 7(x + 6) + -3x Reorder the terms: 42 + 4x = 7(x + 6) + -3x Reorder the terms: 42 + 4x = 7(6 + x) + -3x 42 + 4x = (6 * 7 + x * 7) + -3x 42 + 4x = (42 + 7x) + -3x Combine like terms: 7x + -3x = 4x 42 + 4x = 42 + 4x Add '-42' to each side of the equation. 42 + -42 + 4x = 42 + -42 + 4x Combine like terms: 42 + -42 = 0 0 + 4x = 42 + -42 + 4x 4x = 42 + -42 + 4x Combine like terms: 42 + -42 = 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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