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Simplifying 4x + 5 + 6x = 2(5x + 6) + -7 Reorder the terms: 5 + 4x + 6x = 2(5x + 6) + -7 Combine like terms: 4x + 6x = 10x 5 + 10x = 2(5x + 6) + -7 Reorder the terms: 5 + 10x = 2(6 + 5x) + -7 5 + 10x = (6 * 2 + 5x * 2) + -7 5 + 10x = (12 + 10x) + -7 Reorder the terms: 5 + 10x = 12 + -7 + 10x Combine like terms: 12 + -7 = 5 5 + 10x = 5 + 10x Add '-5' to each side of the equation. 5 + -5 + 10x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 0 + 10x = 5 + -5 + 10x 10x = 5 + -5 + 10x Combine like terms: 5 + -5 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 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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