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Simplifying 8 + -3(4x + -2) = 12x + 2(5x + -10) Reorder the terms: 8 + -3(-2 + 4x) = 12x + 2(5x + -10) 8 + (-2 * -3 + 4x * -3) = 12x + 2(5x + -10) 8 + (6 + -12x) = 12x + 2(5x + -10) Combine like terms: 8 + 6 = 14 14 + -12x = 12x + 2(5x + -10) Reorder the terms: 14 + -12x = 12x + 2(-10 + 5x) 14 + -12x = 12x + (-10 * 2 + 5x * 2) 14 + -12x = 12x + (-20 + 10x) Reorder the terms: 14 + -12x = -20 + 12x + 10x Combine like terms: 12x + 10x = 22x 14 + -12x = -20 + 22x Solving 14 + -12x = -20 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 14 + -12x + -22x = -20 + 22x + -22x Combine like terms: -12x + -22x = -34x 14 + -34x = -20 + 22x + -22x Combine like terms: 22x + -22x = 0 14 + -34x = -20 + 0 14 + -34x = -20 Add '-14' to each side of the equation. 14 + -14 + -34x = -20 + -14 Combine like terms: 14 + -14 = 0 0 + -34x = -20 + -14 -34x = -20 + -14 Combine like terms: -20 + -14 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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