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Simplifying 30(x + -5) + -1 = 30(x + -12) Reorder the terms: 30(-5 + x) + -1 = 30(x + -12) (-5 * 30 + x * 30) + -1 = 30(x + -12) (-150 + 30x) + -1 = 30(x + -12) Reorder the terms: -150 + -1 + 30x = 30(x + -12) Combine like terms: -150 + -1 = -151 -151 + 30x = 30(x + -12) Reorder the terms: -151 + 30x = 30(-12 + x) -151 + 30x = (-12 * 30 + x * 30) -151 + 30x = (-360 + 30x) Add '-30x' to each side of the equation. -151 + 30x + -30x = -360 + 30x + -30x Combine like terms: 30x + -30x = 0 -151 + 0 = -360 + 30x + -30x -151 = -360 + 30x + -30x Combine like terms: 30x + -30x = 0 -151 = -360 + 0 -151 = -360 Solving -151 = -360 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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