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Simplifying 4 + -1(x + 7) = 2(x + -3) + -3(x + 3) Reorder the terms: 4 + -1(7 + x) = 2(x + -3) + -3(x + 3) 4 + (7 * -1 + x * -1) = 2(x + -3) + -3(x + 3) 4 + (-7 + -1x) = 2(x + -3) + -3(x + 3) Combine like terms: 4 + -7 = -3 -3 + -1x = 2(x + -3) + -3(x + 3) Reorder the terms: -3 + -1x = 2(-3 + x) + -3(x + 3) -3 + -1x = (-3 * 2 + x * 2) + -3(x + 3) -3 + -1x = (-6 + 2x) + -3(x + 3) Reorder the terms: -3 + -1x = -6 + 2x + -3(3 + x) -3 + -1x = -6 + 2x + (3 * -3 + x * -3) -3 + -1x = -6 + 2x + (-9 + -3x) Reorder the terms: -3 + -1x = -6 + -9 + 2x + -3x Combine like terms: -6 + -9 = -15 -3 + -1x = -15 + 2x + -3x Combine like terms: 2x + -3x = -1x -3 + -1x = -15 + -1x Add 'x' to each side of the equation. -3 + -1x + x = -15 + -1x + x Combine like terms: -1x + x = 0 -3 + 0 = -15 + -1x + x -3 = -15 + -1x + x Combine like terms: -1x + x = 0 -3 = -15 + 0 -3 = -15 Solving -3 = -15 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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