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Simplifying 2(4x + 5) + -55 = 5x + -30 Reorder the terms: 2(5 + 4x) + -55 = 5x + -30 (5 * 2 + 4x * 2) + -55 = 5x + -30 (10 + 8x) + -55 = 5x + -30 Reorder the terms: 10 + -55 + 8x = 5x + -30 Combine like terms: 10 + -55 = -45 -45 + 8x = 5x + -30 Reorder the terms: -45 + 8x = -30 + 5x Solving -45 + 8x = -30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -45 + 8x + -5x = -30 + 5x + -5x Combine like terms: 8x + -5x = 3x -45 + 3x = -30 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + 3x = -30 + 0 -45 + 3x = -30 Add '45' to each side of the equation. -45 + 45 + 3x = -30 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -30 + 45 3x = -30 + 45 Combine like terms: -30 + 45 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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