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