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Simplifying 4(x + -7) + -5(x + -7) = 7 + -1(x + 19) Reorder the terms: 4(-7 + x) + -5(x + -7) = 7 + -1(x + 19) (-7 * 4 + x * 4) + -5(x + -7) = 7 + -1(x + 19) (-28 + 4x) + -5(x + -7) = 7 + -1(x + 19) Reorder the terms: -28 + 4x + -5(-7 + x) = 7 + -1(x + 19) -28 + 4x + (-7 * -5 + x * -5) = 7 + -1(x + 19) -28 + 4x + (35 + -5x) = 7 + -1(x + 19) Reorder the terms: -28 + 35 + 4x + -5x = 7 + -1(x + 19) Combine like terms: -28 + 35 = 7 7 + 4x + -5x = 7 + -1(x + 19) Combine like terms: 4x + -5x = -1x 7 + -1x = 7 + -1(x + 19) Reorder the terms: 7 + -1x = 7 + -1(19 + x) 7 + -1x = 7 + (19 * -1 + x * -1) 7 + -1x = 7 + (-19 + -1x) Combine like terms: 7 + -19 = -12 7 + -1x = -12 + -1x Add 'x' to each side of the equation. 7 + -1x + x = -12 + -1x + x Combine like terms: -1x + x = 0 7 + 0 = -12 + -1x + x 7 = -12 + -1x + x Combine like terms: -1x + x = 0 7 = -12 + 0 7 = -12 Solving 7 = -12 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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