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Simplifying 5(-6 + -4x + 3) + -1(8x + 12 + -3x) = 4x + -12 + -16x Reorder the terms: 5(-6 + 3 + -4x) + -1(8x + 12 + -3x) = 4x + -12 + -16x Combine like terms: -6 + 3 = -3 5(-3 + -4x) + -1(8x + 12 + -3x) = 4x + -12 + -16x (-3 * 5 + -4x * 5) + -1(8x + 12 + -3x) = 4x + -12 + -16x (-15 + -20x) + -1(8x + 12 + -3x) = 4x + -12 + -16x Reorder the terms: -15 + -20x + -1(12 + 8x + -3x) = 4x + -12 + -16x Combine like terms: 8x + -3x = 5x -15 + -20x + -1(12 + 5x) = 4x + -12 + -16x -15 + -20x + (12 * -1 + 5x * -1) = 4x + -12 + -16x -15 + -20x + (-12 + -5x) = 4x + -12 + -16x Reorder the terms: -15 + -12 + -20x + -5x = 4x + -12 + -16x Combine like terms: -15 + -12 = -27 -27 + -20x + -5x = 4x + -12 + -16x Combine like terms: -20x + -5x = -25x -27 + -25x = 4x + -12 + -16x Reorder the terms: -27 + -25x = -12 + 4x + -16x Combine like terms: 4x + -16x = -12x -27 + -25x = -12 + -12x Solving -27 + -25x = -12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -27 + -25x + 12x = -12 + -12x + 12x Combine like terms: -25x + 12x = -13x -27 + -13x = -12 + -12x + 12x Combine like terms: -12x + 12x = 0 -27 + -13x = -12 + 0 -27 + -13x = -12 Add '27' to each side of the equation. -27 + 27 + -13x = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -13x = -12 + 27 -13x = -12 + 27 Combine like terms: -12 + 27 = 15 -13x = 15 Divide each side by '-13'. x = -1.153846154 Simplifying x = -1.153846154
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