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Simplifying 3(4x + -10) = -2(x + -6) Reorder the terms: 3(-10 + 4x) = -2(x + -6) (-10 * 3 + 4x * 3) = -2(x + -6) (-30 + 12x) = -2(x + -6) Reorder the terms: -30 + 12x = -2(-6 + x) -30 + 12x = (-6 * -2 + x * -2) -30 + 12x = (12 + -2x) Solving -30 + 12x = 12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -30 + 12x + 2x = 12 + -2x + 2x Combine like terms: 12x + 2x = 14x -30 + 14x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 14x = 12 + 0 -30 + 14x = 12 Add '30' to each side of the equation. -30 + 30 + 14x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 14x = 12 + 30 14x = 12 + 30 Combine like terms: 12 + 30 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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