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Simplifying 2x + -3(x + 7) = 5x + -6(x + 1) + 15 Reorder the terms: 2x + -3(7 + x) = 5x + -6(x + 1) + 15 2x + (7 * -3 + x * -3) = 5x + -6(x + 1) + 15 2x + (-21 + -3x) = 5x + -6(x + 1) + 15 Reorder the terms: -21 + 2x + -3x = 5x + -6(x + 1) + 15 Combine like terms: 2x + -3x = -1x -21 + -1x = 5x + -6(x + 1) + 15 Reorder the terms: -21 + -1x = 5x + -6(1 + x) + 15 -21 + -1x = 5x + (1 * -6 + x * -6) + 15 -21 + -1x = 5x + (-6 + -6x) + 15 Reorder the terms: -21 + -1x = -6 + 15 + 5x + -6x Combine like terms: -6 + 15 = 9 -21 + -1x = 9 + 5x + -6x Combine like terms: 5x + -6x = -1x -21 + -1x = 9 + -1x Add 'x' to each side of the equation. -21 + -1x + x = 9 + -1x + x Combine like terms: -1x + x = 0 -21 + 0 = 9 + -1x + x -21 = 9 + -1x + x Combine like terms: -1x + x = 0 -21 = 9 + 0 -21 = 9 Solving -21 = 9 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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