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Simplifying 3(x + 2) + 5 + x = 6(x + 3) + -2x + -7 Reorder the terms: 3(2 + x) + 5 + x = 6(x + 3) + -2x + -7 (2 * 3 + x * 3) + 5 + x = 6(x + 3) + -2x + -7 (6 + 3x) + 5 + x = 6(x + 3) + -2x + -7 Reorder the terms: 6 + 5 + 3x + x = 6(x + 3) + -2x + -7 Combine like terms: 6 + 5 = 11 11 + 3x + x = 6(x + 3) + -2x + -7 Combine like terms: 3x + x = 4x 11 + 4x = 6(x + 3) + -2x + -7 Reorder the terms: 11 + 4x = 6(3 + x) + -2x + -7 11 + 4x = (3 * 6 + x * 6) + -2x + -7 11 + 4x = (18 + 6x) + -2x + -7 Reorder the terms: 11 + 4x = 18 + -7 + 6x + -2x Combine like terms: 18 + -7 = 11 11 + 4x = 11 + 6x + -2x Combine like terms: 6x + -2x = 4x 11 + 4x = 11 + 4x Add '-11' to each side of the equation. 11 + -11 + 4x = 11 + -11 + 4x Combine like terms: 11 + -11 = 0 0 + 4x = 11 + -11 + 4x 4x = 11 + -11 + 4x Combine like terms: 11 + -11 = 0 4x = 0 + 4x 4x = 4x Add '-4x' to each side of the equation. 4x + -4x = 4x + -4x Combine like terms: 4x + -4x = 0 0 = 4x + -4x Combine like terms: 4x + -4x = 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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