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Simplifying 4(x + 3) + -3(x + 7) = 4x + 12 + -3x + 21 Reorder the terms: 4(3 + x) + -3(x + 7) = 4x + 12 + -3x + 21 (3 * 4 + x * 4) + -3(x + 7) = 4x + 12 + -3x + 21 (12 + 4x) + -3(x + 7) = 4x + 12 + -3x + 21 Reorder the terms: 12 + 4x + -3(7 + x) = 4x + 12 + -3x + 21 12 + 4x + (7 * -3 + x * -3) = 4x + 12 + -3x + 21 12 + 4x + (-21 + -3x) = 4x + 12 + -3x + 21 Reorder the terms: 12 + -21 + 4x + -3x = 4x + 12 + -3x + 21 Combine like terms: 12 + -21 = -9 -9 + 4x + -3x = 4x + 12 + -3x + 21 Combine like terms: 4x + -3x = 1x -9 + 1x = 4x + 12 + -3x + 21 Reorder the terms: -9 + 1x = 12 + 21 + 4x + -3x Combine like terms: 12 + 21 = 33 -9 + 1x = 33 + 4x + -3x Combine like terms: 4x + -3x = 1x -9 + 1x = 33 + 1x Add '-1x' to each side of the equation. -9 + 1x + -1x = 33 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 0 = 33 + 1x + -1x -9 = 33 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 = 33 + 0 -9 = 33 Solving -9 = 33 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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