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Simplifying 4(x + 6) + -5 = 23 + -3x + -4 + 7x Reorder the terms: 4(6 + x) + -5 = 23 + -3x + -4 + 7x (6 * 4 + x * 4) + -5 = 23 + -3x + -4 + 7x (24 + 4x) + -5 = 23 + -3x + -4 + 7x Reorder the terms: 24 + -5 + 4x = 23 + -3x + -4 + 7x Combine like terms: 24 + -5 = 19 19 + 4x = 23 + -3x + -4 + 7x Reorder the terms: 19 + 4x = 23 + -4 + -3x + 7x Combine like terms: 23 + -4 = 19 19 + 4x = 19 + -3x + 7x Combine like terms: -3x + 7x = 4x 19 + 4x = 19 + 4x Add '-19' to each side of the equation. 19 + -19 + 4x = 19 + -19 + 4x Combine like terms: 19 + -19 = 0 0 + 4x = 19 + -19 + 4x 4x = 19 + -19 + 4x Combine like terms: 19 + -19 = 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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