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Simplifying 8x + -32 = 14x + -1(2x + 80) Reorder the terms: -32 + 8x = 14x + -1(2x + 80) Reorder the terms: -32 + 8x = 14x + -1(80 + 2x) -32 + 8x = 14x + (80 * -1 + 2x * -1) -32 + 8x = 14x + (-80 + -2x) Reorder the terms: -32 + 8x = -80 + 14x + -2x Combine like terms: 14x + -2x = 12x -32 + 8x = -80 + 12x Solving -32 + 8x = -80 + 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. -32 + 8x + -12x = -80 + 12x + -12x Combine like terms: 8x + -12x = -4x -32 + -4x = -80 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -4x = -80 + 0 -32 + -4x = -80 Add '32' to each side of the equation. -32 + 32 + -4x = -80 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = -80 + 32 -4x = -80 + 32 Combine like terms: -80 + 32 = -48 -4x = -48 Divide each side by '-4'. x = 12 Simplifying x = 12
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