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Simplifying 2(x + 7) + -6(x + 2) = -4(x + -3) Reorder the terms: 2(7 + x) + -6(x + 2) = -4(x + -3) (7 * 2 + x * 2) + -6(x + 2) = -4(x + -3) (14 + 2x) + -6(x + 2) = -4(x + -3) Reorder the terms: 14 + 2x + -6(2 + x) = -4(x + -3) 14 + 2x + (2 * -6 + x * -6) = -4(x + -3) 14 + 2x + (-12 + -6x) = -4(x + -3) Reorder the terms: 14 + -12 + 2x + -6x = -4(x + -3) Combine like terms: 14 + -12 = 2 2 + 2x + -6x = -4(x + -3) Combine like terms: 2x + -6x = -4x 2 + -4x = -4(x + -3) Reorder the terms: 2 + -4x = -4(-3 + x) 2 + -4x = (-3 * -4 + x * -4) 2 + -4x = (12 + -4x) Add '4x' to each side of the equation. 2 + -4x + 4x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 0 = 12 + -4x + 4x 2 = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 = 12 + 0 2 = 12 Solving 2 = 12 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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