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Simplifying -3(x + 4) + 6(x + 7) = 3x + 20 Reorder the terms: -3(4 + x) + 6(x + 7) = 3x + 20 (4 * -3 + x * -3) + 6(x + 7) = 3x + 20 (-12 + -3x) + 6(x + 7) = 3x + 20 Reorder the terms: -12 + -3x + 6(7 + x) = 3x + 20 -12 + -3x + (7 * 6 + x * 6) = 3x + 20 -12 + -3x + (42 + 6x) = 3x + 20 Reorder the terms: -12 + 42 + -3x + 6x = 3x + 20 Combine like terms: -12 + 42 = 30 30 + -3x + 6x = 3x + 20 Combine like terms: -3x + 6x = 3x 30 + 3x = 3x + 20 Reorder the terms: 30 + 3x = 20 + 3x Add '-3x' to each side of the equation. 30 + 3x + -3x = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + 0 = 20 + 3x + -3x 30 = 20 + 3x + -3x Combine like terms: 3x + -3x = 0 30 = 20 + 0 30 = 20 Solving 30 = 20 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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