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Simplifying 12x + -1(8 + -2x) = 5(2x + -1) 12x + (8 * -1 + -2x * -1) = 5(2x + -1) 12x + (-8 + 2x) = 5(2x + -1) Reorder the terms: -8 + 12x + 2x = 5(2x + -1) Combine like terms: 12x + 2x = 14x -8 + 14x = 5(2x + -1) Reorder the terms: -8 + 14x = 5(-1 + 2x) -8 + 14x = (-1 * 5 + 2x * 5) -8 + 14x = (-5 + 10x) Solving -8 + 14x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 14x + -10x = -5 + 10x + -10x Combine like terms: 14x + -10x = 4x -8 + 4x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 -8 + 4x = -5 + 0 -8 + 4x = -5 Add '8' to each side of the equation. -8 + 8 + 4x = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -5 + 8 4x = -5 + 8 Combine like terms: -5 + 8 = 3 4x = 3 Divide each side by '4'. x = 0.75 Simplifying x = 0.75
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