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Simplifying 3(x + 4) + -6 = 2(x + -5) + x + 16 Reorder the terms: 3(4 + x) + -6 = 2(x + -5) + x + 16 (4 * 3 + x * 3) + -6 = 2(x + -5) + x + 16 (12 + 3x) + -6 = 2(x + -5) + x + 16 Reorder the terms: 12 + -6 + 3x = 2(x + -5) + x + 16 Combine like terms: 12 + -6 = 6 6 + 3x = 2(x + -5) + x + 16 Reorder the terms: 6 + 3x = 2(-5 + x) + x + 16 6 + 3x = (-5 * 2 + x * 2) + x + 16 6 + 3x = (-10 + 2x) + x + 16 Reorder the terms: 6 + 3x = -10 + 16 + 2x + x Combine like terms: -10 + 16 = 6 6 + 3x = 6 + 2x + x Combine like terms: 2x + x = 3x 6 + 3x = 6 + 3x Add '-6' to each side of the equation. 6 + -6 + 3x = 6 + -6 + 3x Combine like terms: 6 + -6 = 0 0 + 3x = 6 + -6 + 3x 3x = 6 + -6 + 3x Combine like terms: 6 + -6 = 0 3x = 0 + 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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