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Simplifying -1x + -30 = 4(5x + 3) Reorder the terms: -30 + -1x = 4(5x + 3) Reorder the terms: -30 + -1x = 4(3 + 5x) -30 + -1x = (3 * 4 + 5x * 4) -30 + -1x = (12 + 20x) Solving -30 + -1x = 12 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -30 + -1x + -20x = 12 + 20x + -20x Combine like terms: -1x + -20x = -21x -30 + -21x = 12 + 20x + -20x Combine like terms: 20x + -20x = 0 -30 + -21x = 12 + 0 -30 + -21x = 12 Add '30' to each side of the equation. -30 + 30 + -21x = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -21x = 12 + 30 -21x = 12 + 30 Combine like terms: 12 + 30 = 42 -21x = 42 Divide each side by '-21'. x = -2 Simplifying x = -2
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