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Simplifying 3x + 3(x + 1) + 5 = 2(3x) + 8 Reorder the terms: 3x + 3(1 + x) + 5 = 2(3x) + 8 3x + (1 * 3 + x * 3) + 5 = 2(3x) + 8 3x + (3 + 3x) + 5 = 2(3x) + 8 Reorder the terms: 3 + 5 + 3x + 3x = 2(3x) + 8 Combine like terms: 3 + 5 = 8 8 + 3x + 3x = 2(3x) + 8 Combine like terms: 3x + 3x = 6x 8 + 6x = 2(3x) + 8 Remove parenthesis around (3x) 8 + 6x = 2 * 3x + 8 Multiply 2 * 3 8 + 6x = 6x + 8 Reorder the terms: 8 + 6x = 8 + 6x Add '-8' to each side of the equation. 8 + -8 + 6x = 8 + -8 + 6x Combine like terms: 8 + -8 = 0 0 + 6x = 8 + -8 + 6x 6x = 8 + -8 + 6x Combine like terms: 8 + -8 = 0 6x = 0 + 6x 6x = 6x Add '-6x' to each side of the equation. 6x + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 0 = 6x + -6x Combine like terms: 6x + -6x = 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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