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Simplifying 4(5x + 5) + -1(8 + -1x) = -30 Reorder the terms: 4(5 + 5x) + -1(8 + -1x) = -30 (5 * 4 + 5x * 4) + -1(8 + -1x) = -30 (20 + 20x) + -1(8 + -1x) = -30 20 + 20x + (8 * -1 + -1x * -1) = -30 20 + 20x + (-8 + 1x) = -30 Reorder the terms: 20 + -8 + 20x + 1x = -30 Combine like terms: 20 + -8 = 12 12 + 20x + 1x = -30 Combine like terms: 20x + 1x = 21x 12 + 21x = -30 Solving 12 + 21x = -30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 21x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + 21x = -30 + -12 21x = -30 + -12 Combine like terms: -30 + -12 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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