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Simplifying 4(x + 2) + 3x = 7(x + 1) + 1 Reorder the terms: 4(2 + x) + 3x = 7(x + 1) + 1 (2 * 4 + x * 4) + 3x = 7(x + 1) + 1 (8 + 4x) + 3x = 7(x + 1) + 1 Combine like terms: 4x + 3x = 7x 8 + 7x = 7(x + 1) + 1 Reorder the terms: 8 + 7x = 7(1 + x) + 1 8 + 7x = (1 * 7 + x * 7) + 1 8 + 7x = (7 + 7x) + 1 Reorder the terms: 8 + 7x = 7 + 1 + 7x Combine like terms: 7 + 1 = 8 8 + 7x = 8 + 7x Add '-8' to each side of the equation. 8 + -8 + 7x = 8 + -8 + 7x Combine like terms: 8 + -8 = 0 0 + 7x = 8 + -8 + 7x 7x = 8 + -8 + 7x Combine like terms: 8 + -8 = 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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