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Simplifying 3(4x + -10) = 2(3x + -30) Reorder the terms: 3(-10 + 4x) = 2(3x + -30) (-10 * 3 + 4x * 3) = 2(3x + -30) (-30 + 12x) = 2(3x + -30) Reorder the terms: -30 + 12x = 2(-30 + 3x) -30 + 12x = (-30 * 2 + 3x * 2) -30 + 12x = (-60 + 6x) Solving -30 + 12x = -60 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 12x + -6x = -60 + 6x + -6x Combine like terms: 12x + -6x = 6x -30 + 6x = -60 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 6x = -60 + 0 -30 + 6x = -60 Add '30' to each side of the equation. -30 + 30 + 6x = -60 + 30 Combine like terms: -30 + 30 = 0 0 + 6x = -60 + 30 6x = -60 + 30 Combine like terms: -60 + 30 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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