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Simplifying 3(4x + -9) = 2(6x + -1) + x + -25 Reorder the terms: 3(-9 + 4x) = 2(6x + -1) + x + -25 (-9 * 3 + 4x * 3) = 2(6x + -1) + x + -25 (-27 + 12x) = 2(6x + -1) + x + -25 Reorder the terms: -27 + 12x = 2(-1 + 6x) + x + -25 -27 + 12x = (-1 * 2 + 6x * 2) + x + -25 -27 + 12x = (-2 + 12x) + x + -25 Reorder the terms: -27 + 12x = -2 + -25 + 12x + x Combine like terms: -2 + -25 = -27 -27 + 12x = -27 + 12x + x Combine like terms: 12x + x = 13x -27 + 12x = -27 + 13x Add '27' to each side of the equation. -27 + 27 + 12x = -27 + 27 + 13x Combine like terms: -27 + 27 = 0 0 + 12x = -27 + 27 + 13x 12x = -27 + 27 + 13x Combine like terms: -27 + 27 = 0 12x = 0 + 13x 12x = 13x Solving 12x = 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 12x + -13x = 13x + -13x Combine like terms: 12x + -13x = -1x -1x = 13x + -13x Combine like terms: 13x + -13x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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