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Simplifying 0.25(16x + -80) + 16 + -10x = 8 + 3(x + -8) + -12x Reorder the terms: 0.25(-80 + 16x) + 16 + -10x = 8 + 3(x + -8) + -12x (-80 * 0.25 + 16x * 0.25) + 16 + -10x = 8 + 3(x + -8) + -12x (-20 + 4x) + 16 + -10x = 8 + 3(x + -8) + -12x Reorder the terms: -20 + 16 + 4x + -10x = 8 + 3(x + -8) + -12x Combine like terms: -20 + 16 = -4 -4 + 4x + -10x = 8 + 3(x + -8) + -12x Combine like terms: 4x + -10x = -6x -4 + -6x = 8 + 3(x + -8) + -12x Reorder the terms: -4 + -6x = 8 + 3(-8 + x) + -12x -4 + -6x = 8 + (-8 * 3 + x * 3) + -12x -4 + -6x = 8 + (-24 + 3x) + -12x Combine like terms: 8 + -24 = -16 -4 + -6x = -16 + 3x + -12x Combine like terms: 3x + -12x = -9x -4 + -6x = -16 + -9x Solving -4 + -6x = -16 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -4 + -6x + 9x = -16 + -9x + 9x Combine like terms: -6x + 9x = 3x -4 + 3x = -16 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 3x = -16 + 0 -4 + 3x = -16 Add '4' to each side of the equation. -4 + 4 + 3x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = -16 + 4 3x = -16 + 4 Combine like terms: -16 + 4 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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