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Simplifying 2(x + 3) + 3(x + -1) = x + 4(x + -12) Reorder the terms: 2(3 + x) + 3(x + -1) = x + 4(x + -12) (3 * 2 + x * 2) + 3(x + -1) = x + 4(x + -12) (6 + 2x) + 3(x + -1) = x + 4(x + -12) Reorder the terms: 6 + 2x + 3(-1 + x) = x + 4(x + -12) 6 + 2x + (-1 * 3 + x * 3) = x + 4(x + -12) 6 + 2x + (-3 + 3x) = x + 4(x + -12) Reorder the terms: 6 + -3 + 2x + 3x = x + 4(x + -12) Combine like terms: 6 + -3 = 3 3 + 2x + 3x = x + 4(x + -12) Combine like terms: 2x + 3x = 5x 3 + 5x = x + 4(x + -12) Reorder the terms: 3 + 5x = x + 4(-12 + x) 3 + 5x = x + (-12 * 4 + x * 4) 3 + 5x = x + (-48 + 4x) Reorder the terms: 3 + 5x = -48 + x + 4x Combine like terms: x + 4x = 5x 3 + 5x = -48 + 5x Add '-5x' to each side of the equation. 3 + 5x + -5x = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + 0 = -48 + 5x + -5x 3 = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 3 = -48 + 0 3 = -48 Solving 3 = -48 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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