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Simplifying -2(x + 7) + 52 = 4x + -6(x + 3) Reorder the terms: -2(7 + x) + 52 = 4x + -6(x + 3) (7 * -2 + x * -2) + 52 = 4x + -6(x + 3) (-14 + -2x) + 52 = 4x + -6(x + 3) Reorder the terms: -14 + 52 + -2x = 4x + -6(x + 3) Combine like terms: -14 + 52 = 38 38 + -2x = 4x + -6(x + 3) Reorder the terms: 38 + -2x = 4x + -6(3 + x) 38 + -2x = 4x + (3 * -6 + x * -6) 38 + -2x = 4x + (-18 + -6x) Reorder the terms: 38 + -2x = -18 + 4x + -6x Combine like terms: 4x + -6x = -2x 38 + -2x = -18 + -2x Add '2x' to each side of the equation. 38 + -2x + 2x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 38 + 0 = -18 + -2x + 2x 38 = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 38 = -18 + 0 38 = -18 Solving 38 = -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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