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Simplifying 2x + 30 = -4(5x + -2) Reorder the terms: 30 + 2x = -4(5x + -2) Reorder the terms: 30 + 2x = -4(-2 + 5x) 30 + 2x = (-2 * -4 + 5x * -4) 30 + 2x = (8 + -20x) Solving 30 + 2x = 8 + -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 + 2x + 20x = 8 + -20x + 20x Combine like terms: 2x + 20x = 22x 30 + 22x = 8 + -20x + 20x Combine like terms: -20x + 20x = 0 30 + 22x = 8 + 0 30 + 22x = 8 Add '-30' to each side of the equation. 30 + -30 + 22x = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 22x = 8 + -30 22x = 8 + -30 Combine like terms: 8 + -30 = -22 22x = -22 Divide each side by '22'. x = -1 Simplifying x = -1
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