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