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Simplifying 4 + -1(6x + 5) = 7 + -2(3x + 4) Reorder the terms: 4 + -1(5 + 6x) = 7 + -2(3x + 4) 4 + (5 * -1 + 6x * -1) = 7 + -2(3x + 4) 4 + (-5 + -6x) = 7 + -2(3x + 4) Combine like terms: 4 + -5 = -1 -1 + -6x = 7 + -2(3x + 4) Reorder the terms: -1 + -6x = 7 + -2(4 + 3x) -1 + -6x = 7 + (4 * -2 + 3x * -2) -1 + -6x = 7 + (-8 + -6x) Combine like terms: 7 + -8 = -1 -1 + -6x = -1 + -6x Add '1' to each side of the equation. -1 + 1 + -6x = -1 + 1 + -6x Combine like terms: -1 + 1 = 0 0 + -6x = -1 + 1 + -6x -6x = -1 + 1 + -6x Combine like terms: -1 + 1 = 0 -6x = 0 + -6x -6x = -6x Add '6x' to each side of the equation. -6x + 6x = -6x + 6x Combine like terms: -6x + 6x = 0 0 = -6x + 6x Combine like terms: -6x + 6x = 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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