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Simplifying 7(x + -7) + -4 = 14x + -7(x + 9) Reorder the terms: 7(-7 + x) + -4 = 14x + -7(x + 9) (-7 * 7 + x * 7) + -4 = 14x + -7(x + 9) (-49 + 7x) + -4 = 14x + -7(x + 9) Reorder the terms: -49 + -4 + 7x = 14x + -7(x + 9) Combine like terms: -49 + -4 = -53 -53 + 7x = 14x + -7(x + 9) Reorder the terms: -53 + 7x = 14x + -7(9 + x) -53 + 7x = 14x + (9 * -7 + x * -7) -53 + 7x = 14x + (-63 + -7x) Reorder the terms: -53 + 7x = -63 + 14x + -7x Combine like terms: 14x + -7x = 7x -53 + 7x = -63 + 7x Add '-7x' to each side of the equation. -53 + 7x + -7x = -63 + 7x + -7x Combine like terms: 7x + -7x = 0 -53 + 0 = -63 + 7x + -7x -53 = -63 + 7x + -7x Combine like terms: 7x + -7x = 0 -53 = -63 + 0 -53 = -63 Solving -53 = -63 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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