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Simplifying -4(3x + -5) = 6x + 2(x + 30) Reorder the terms: -4(-5 + 3x) = 6x + 2(x + 30) (-5 * -4 + 3x * -4) = 6x + 2(x + 30) (20 + -12x) = 6x + 2(x + 30) Reorder the terms: 20 + -12x = 6x + 2(30 + x) 20 + -12x = 6x + (30 * 2 + x * 2) 20 + -12x = 6x + (60 + 2x) Reorder the terms: 20 + -12x = 60 + 6x + 2x Combine like terms: 6x + 2x = 8x 20 + -12x = 60 + 8x Solving 20 + -12x = 60 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + -12x + -8x = 60 + 8x + -8x Combine like terms: -12x + -8x = -20x 20 + -20x = 60 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + -20x = 60 + 0 20 + -20x = 60 Add '-20' to each side of the equation. 20 + -20 + -20x = 60 + -20 Combine like terms: 20 + -20 = 0 0 + -20x = 60 + -20 -20x = 60 + -20 Combine like terms: 60 + -20 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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