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Simplifying 12(x + -15) + 15 = 3(4x + 5) + -45 Reorder the terms: 12(-15 + x) + 15 = 3(4x + 5) + -45 (-15 * 12 + x * 12) + 15 = 3(4x + 5) + -45 (-180 + 12x) + 15 = 3(4x + 5) + -45 Reorder the terms: -180 + 15 + 12x = 3(4x + 5) + -45 Combine like terms: -180 + 15 = -165 -165 + 12x = 3(4x + 5) + -45 Reorder the terms: -165 + 12x = 3(5 + 4x) + -45 -165 + 12x = (5 * 3 + 4x * 3) + -45 -165 + 12x = (15 + 12x) + -45 Reorder the terms: -165 + 12x = 15 + -45 + 12x Combine like terms: 15 + -45 = -30 -165 + 12x = -30 + 12x Add '-12x' to each side of the equation. -165 + 12x + -12x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -165 + 0 = -30 + 12x + -12x -165 = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -165 = -30 + 0 -165 = -30 Solving -165 = -30 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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