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