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Simplifying 12(-3x + -8) = 25 + -7(-4x + 2) Reorder the terms: 12(-8 + -3x) = 25 + -7(-4x + 2) (-8 * 12 + -3x * 12) = 25 + -7(-4x + 2) (-96 + -36x) = 25 + -7(-4x + 2) Reorder the terms: -96 + -36x = 25 + -7(2 + -4x) -96 + -36x = 25 + (2 * -7 + -4x * -7) -96 + -36x = 25 + (-14 + 28x) Combine like terms: 25 + -14 = 11 -96 + -36x = 11 + 28x Solving -96 + -36x = 11 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -96 + -36x + -28x = 11 + 28x + -28x Combine like terms: -36x + -28x = -64x -96 + -64x = 11 + 28x + -28x Combine like terms: 28x + -28x = 0 -96 + -64x = 11 + 0 -96 + -64x = 11 Add '96' to each side of the equation. -96 + 96 + -64x = 11 + 96 Combine like terms: -96 + 96 = 0 0 + -64x = 11 + 96 -64x = 11 + 96 Combine like terms: 11 + 96 = 107 -64x = 107 Divide each side by '-64'. x = -1.671875 Simplifying x = -1.671875
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