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Simplifying -4(x + -7) + -74 = 2x + -6(x + 3) Reorder the terms: -4(-7 + x) + -74 = 2x + -6(x + 3) (-7 * -4 + x * -4) + -74 = 2x + -6(x + 3) (28 + -4x) + -74 = 2x + -6(x + 3) Reorder the terms: 28 + -74 + -4x = 2x + -6(x + 3) Combine like terms: 28 + -74 = -46 -46 + -4x = 2x + -6(x + 3) Reorder the terms: -46 + -4x = 2x + -6(3 + x) -46 + -4x = 2x + (3 * -6 + x * -6) -46 + -4x = 2x + (-18 + -6x) Reorder the terms: -46 + -4x = -18 + 2x + -6x Combine like terms: 2x + -6x = -4x -46 + -4x = -18 + -4x Add '4x' to each side of the equation. -46 + -4x + 4x = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 -46 + 0 = -18 + -4x + 4x -46 = -18 + -4x + 4x Combine like terms: -4x + 4x = 0 -46 = -18 + 0 -46 = -18 Solving -46 = -18 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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