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Simplifying 2(x + -10) = -3(4x + 2) Reorder the terms: 2(-10 + x) = -3(4x + 2) (-10 * 2 + x * 2) = -3(4x + 2) (-20 + 2x) = -3(4x + 2) Reorder the terms: -20 + 2x = -3(2 + 4x) -20 + 2x = (2 * -3 + 4x * -3) -20 + 2x = (-6 + -12x) Solving -20 + 2x = -6 + -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. -20 + 2x + 12x = -6 + -12x + 12x Combine like terms: 2x + 12x = 14x -20 + 14x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 -20 + 14x = -6 + 0 -20 + 14x = -6 Add '20' to each side of the equation. -20 + 20 + 14x = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 14x = -6 + 20 14x = -6 + 20 Combine like terms: -6 + 20 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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