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Simplifying 4(x + 2) + -6(x + -3) = -2(x + 4) Reorder the terms: 4(2 + x) + -6(x + -3) = -2(x + 4) (2 * 4 + x * 4) + -6(x + -3) = -2(x + 4) (8 + 4x) + -6(x + -3) = -2(x + 4) Reorder the terms: 8 + 4x + -6(-3 + x) = -2(x + 4) 8 + 4x + (-3 * -6 + x * -6) = -2(x + 4) 8 + 4x + (18 + -6x) = -2(x + 4) Reorder the terms: 8 + 18 + 4x + -6x = -2(x + 4) Combine like terms: 8 + 18 = 26 26 + 4x + -6x = -2(x + 4) Combine like terms: 4x + -6x = -2x 26 + -2x = -2(x + 4) Reorder the terms: 26 + -2x = -2(4 + x) 26 + -2x = (4 * -2 + x * -2) 26 + -2x = (-8 + -2x) Add '2x' to each side of the equation. 26 + -2x + 2x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 26 + 0 = -8 + -2x + 2x 26 = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 26 = -8 + 0 26 = -8 Solving 26 = -8 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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