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Simplifying 7(x + 1) + 3 = 3x + 4(x + 2) + 2 Reorder the terms: 7(1 + x) + 3 = 3x + 4(x + 2) + 2 (1 * 7 + x * 7) + 3 = 3x + 4(x + 2) + 2 (7 + 7x) + 3 = 3x + 4(x + 2) + 2 Reorder the terms: 7 + 3 + 7x = 3x + 4(x + 2) + 2 Combine like terms: 7 + 3 = 10 10 + 7x = 3x + 4(x + 2) + 2 Reorder the terms: 10 + 7x = 3x + 4(2 + x) + 2 10 + 7x = 3x + (2 * 4 + x * 4) + 2 10 + 7x = 3x + (8 + 4x) + 2 Reorder the terms: 10 + 7x = 8 + 2 + 3x + 4x Combine like terms: 8 + 2 = 10 10 + 7x = 10 + 3x + 4x Combine like terms: 3x + 4x = 7x 10 + 7x = 10 + 7x Add '-10' to each side of the equation. 10 + -10 + 7x = 10 + -10 + 7x Combine like terms: 10 + -10 = 0 0 + 7x = 10 + -10 + 7x 7x = 10 + -10 + 7x Combine like terms: 10 + -10 = 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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