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Simplifying 4(x + 3) + x = 5(x + 1) + 7 Reorder the terms: 4(3 + x) + x = 5(x + 1) + 7 (3 * 4 + x * 4) + x = 5(x + 1) + 7 (12 + 4x) + x = 5(x + 1) + 7 Combine like terms: 4x + x = 5x 12 + 5x = 5(x + 1) + 7 Reorder the terms: 12 + 5x = 5(1 + x) + 7 12 + 5x = (1 * 5 + x * 5) + 7 12 + 5x = (5 + 5x) + 7 Reorder the terms: 12 + 5x = 5 + 7 + 5x Combine like terms: 5 + 7 = 12 12 + 5x = 12 + 5x Add '-12' to each side of the equation. 12 + -12 + 5x = 12 + -12 + 5x Combine like terms: 12 + -12 = 0 0 + 5x = 12 + -12 + 5x 5x = 12 + -12 + 5x Combine like terms: 12 + -12 = 0 5x = 0 + 5x 5x = 5x Add '-5x' to each side of the equation. 5x + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 0 = 5x + -5x Combine like terms: 5x + -5x = 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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