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Simplifying 7 + -1(2x + 5) + 6x = 5x + -1(x + 3) + 5 Reorder the terms: 7 + -1(5 + 2x) + 6x = 5x + -1(x + 3) + 5 7 + (5 * -1 + 2x * -1) + 6x = 5x + -1(x + 3) + 5 7 + (-5 + -2x) + 6x = 5x + -1(x + 3) + 5 Combine like terms: 7 + -5 = 2 2 + -2x + 6x = 5x + -1(x + 3) + 5 Combine like terms: -2x + 6x = 4x 2 + 4x = 5x + -1(x + 3) + 5 Reorder the terms: 2 + 4x = 5x + -1(3 + x) + 5 2 + 4x = 5x + (3 * -1 + x * -1) + 5 2 + 4x = 5x + (-3 + -1x) + 5 Reorder the terms: 2 + 4x = -3 + 5 + 5x + -1x Combine like terms: -3 + 5 = 2 2 + 4x = 2 + 5x + -1x Combine like terms: 5x + -1x = 4x 2 + 4x = 2 + 4x Add '-2' to each side of the equation. 2 + -2 + 4x = 2 + -2 + 4x Combine like terms: 2 + -2 = 0 0 + 4x = 2 + -2 + 4x 4x = 2 + -2 + 4x Combine like terms: 2 + -2 = 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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