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Simplifying 5(5x + -12) = 4(2x + -8) + -1(3x + 4) Reorder the terms: 5(-12 + 5x) = 4(2x + -8) + -1(3x + 4) (-12 * 5 + 5x * 5) = 4(2x + -8) + -1(3x + 4) (-60 + 25x) = 4(2x + -8) + -1(3x + 4) Reorder the terms: -60 + 25x = 4(-8 + 2x) + -1(3x + 4) -60 + 25x = (-8 * 4 + 2x * 4) + -1(3x + 4) -60 + 25x = (-32 + 8x) + -1(3x + 4) Reorder the terms: -60 + 25x = -32 + 8x + -1(4 + 3x) -60 + 25x = -32 + 8x + (4 * -1 + 3x * -1) -60 + 25x = -32 + 8x + (-4 + -3x) Reorder the terms: -60 + 25x = -32 + -4 + 8x + -3x Combine like terms: -32 + -4 = -36 -60 + 25x = -36 + 8x + -3x Combine like terms: 8x + -3x = 5x -60 + 25x = -36 + 5x Solving -60 + 25x = -36 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -60 + 25x + -5x = -36 + 5x + -5x Combine like terms: 25x + -5x = 20x -60 + 20x = -36 + 5x + -5x Combine like terms: 5x + -5x = 0 -60 + 20x = -36 + 0 -60 + 20x = -36 Add '60' to each side of the equation. -60 + 60 + 20x = -36 + 60 Combine like terms: -60 + 60 = 0 0 + 20x = -36 + 60 20x = -36 + 60 Combine like terms: -36 + 60 = 24 20x = 24 Divide each side by '20'. x = 1.2 Simplifying x = 1.2
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