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Simplifying -5(x + 9) + 12x = 7(x + -5) + 12 Reorder the terms: -5(9 + x) + 12x = 7(x + -5) + 12 (9 * -5 + x * -5) + 12x = 7(x + -5) + 12 (-45 + -5x) + 12x = 7(x + -5) + 12 Combine like terms: -5x + 12x = 7x -45 + 7x = 7(x + -5) + 12 Reorder the terms: -45 + 7x = 7(-5 + x) + 12 -45 + 7x = (-5 * 7 + x * 7) + 12 -45 + 7x = (-35 + 7x) + 12 Reorder the terms: -45 + 7x = -35 + 12 + 7x Combine like terms: -35 + 12 = -23 -45 + 7x = -23 + 7x Add '-7x' to each side of the equation. -45 + 7x + -7x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 + 0 = -23 + 7x + -7x -45 = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 -45 = -23 + 0 -45 = -23 Solving -45 = -23 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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