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Simplifying 7x + -6 = 5(x + 1) + 2x + -11 Reorder the terms: -6 + 7x = 5(x + 1) + 2x + -11 Reorder the terms: -6 + 7x = 5(1 + x) + 2x + -11 -6 + 7x = (1 * 5 + x * 5) + 2x + -11 -6 + 7x = (5 + 5x) + 2x + -11 Reorder the terms: -6 + 7x = 5 + -11 + 5x + 2x Combine like terms: 5 + -11 = -6 -6 + 7x = -6 + 5x + 2x Combine like terms: 5x + 2x = 7x -6 + 7x = -6 + 7x Add '6' to each side of the equation. -6 + 6 + 7x = -6 + 6 + 7x Combine like terms: -6 + 6 = 0 0 + 7x = -6 + 6 + 7x 7x = -6 + 6 + 7x Combine like terms: -6 + 6 = 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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