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Simplifying 3x + -24(15x + 8) = 12x + -1(25x + -36) Reorder the terms: 3x + -24(8 + 15x) = 12x + -1(25x + -36) 3x + (8 * -24 + 15x * -24) = 12x + -1(25x + -36) 3x + (-192 + -360x) = 12x + -1(25x + -36) Reorder the terms: -192 + 3x + -360x = 12x + -1(25x + -36) Combine like terms: 3x + -360x = -357x -192 + -357x = 12x + -1(25x + -36) Reorder the terms: -192 + -357x = 12x + -1(-36 + 25x) -192 + -357x = 12x + (-36 * -1 + 25x * -1) -192 + -357x = 12x + (36 + -25x) Reorder the terms: -192 + -357x = 36 + 12x + -25x Combine like terms: 12x + -25x = -13x -192 + -357x = 36 + -13x Solving -192 + -357x = 36 + -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. -192 + -357x + 13x = 36 + -13x + 13x Combine like terms: -357x + 13x = -344x -192 + -344x = 36 + -13x + 13x Combine like terms: -13x + 13x = 0 -192 + -344x = 36 + 0 -192 + -344x = 36 Add '192' to each side of the equation. -192 + 192 + -344x = 36 + 192 Combine like terms: -192 + 192 = 0 0 + -344x = 36 + 192 -344x = 36 + 192 Combine like terms: 36 + 192 = 228 -344x = 228 Divide each side by '-344'. x = -0.6627906977 Simplifying x = -0.6627906977
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