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Simplifying 4(2x + 3) + -1(6x + 9) = 2(x + -4) Reorder the terms: 4(3 + 2x) + -1(6x + 9) = 2(x + -4) (3 * 4 + 2x * 4) + -1(6x + 9) = 2(x + -4) (12 + 8x) + -1(6x + 9) = 2(x + -4) Reorder the terms: 12 + 8x + -1(9 + 6x) = 2(x + -4) 12 + 8x + (9 * -1 + 6x * -1) = 2(x + -4) 12 + 8x + (-9 + -6x) = 2(x + -4) Reorder the terms: 12 + -9 + 8x + -6x = 2(x + -4) Combine like terms: 12 + -9 = 3 3 + 8x + -6x = 2(x + -4) Combine like terms: 8x + -6x = 2x 3 + 2x = 2(x + -4) Reorder the terms: 3 + 2x = 2(-4 + x) 3 + 2x = (-4 * 2 + x * 2) 3 + 2x = (-8 + 2x) Add '-2x' to each side of the equation. 3 + 2x + -2x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 0 = -8 + 2x + -2x 3 = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 3 = -8 + 0 3 = -8 Solving 3 = -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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