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Simplifying 6(6x + -5) + -6(10 + -5x) + 4(-3x + 4) = -8(2 + -4x) Reorder the terms: 6(-5 + 6x) + -6(10 + -5x) + 4(-3x + 4) = -8(2 + -4x) (-5 * 6 + 6x * 6) + -6(10 + -5x) + 4(-3x + 4) = -8(2 + -4x) (-30 + 36x) + -6(10 + -5x) + 4(-3x + 4) = -8(2 + -4x) -30 + 36x + (10 * -6 + -5x * -6) + 4(-3x + 4) = -8(2 + -4x) -30 + 36x + (-60 + 30x) + 4(-3x + 4) = -8(2 + -4x) Reorder the terms: -30 + 36x + -60 + 30x + 4(4 + -3x) = -8(2 + -4x) -30 + 36x + -60 + 30x + (4 * 4 + -3x * 4) = -8(2 + -4x) -30 + 36x + -60 + 30x + (16 + -12x) = -8(2 + -4x) Reorder the terms: -30 + -60 + 16 + 36x + 30x + -12x = -8(2 + -4x) Combine like terms: -30 + -60 = -90 -90 + 16 + 36x + 30x + -12x = -8(2 + -4x) Combine like terms: -90 + 16 = -74 -74 + 36x + 30x + -12x = -8(2 + -4x) Combine like terms: 36x + 30x = 66x -74 + 66x + -12x = -8(2 + -4x) Combine like terms: 66x + -12x = 54x -74 + 54x = -8(2 + -4x) -74 + 54x = (2 * -8 + -4x * -8) -74 + 54x = (-16 + 32x) Solving -74 + 54x = -16 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -74 + 54x + -32x = -16 + 32x + -32x Combine like terms: 54x + -32x = 22x -74 + 22x = -16 + 32x + -32x Combine like terms: 32x + -32x = 0 -74 + 22x = -16 + 0 -74 + 22x = -16 Add '74' to each side of the equation. -74 + 74 + 22x = -16 + 74 Combine like terms: -74 + 74 = 0 0 + 22x = -16 + 74 22x = -16 + 74 Combine like terms: -16 + 74 = 58 22x = 58 Divide each side by '22'. x = 2.636363636 Simplifying x = 2.636363636
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