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Simplifying 21(2x + -6) = 30(x + 1) Reorder the terms: 21(-6 + 2x) = 30(x + 1) (-6 * 21 + 2x * 21) = 30(x + 1) (-126 + 42x) = 30(x + 1) Reorder the terms: -126 + 42x = 30(1 + x) -126 + 42x = (1 * 30 + x * 30) -126 + 42x = (30 + 30x) Solving -126 + 42x = 30 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -126 + 42x + -30x = 30 + 30x + -30x Combine like terms: 42x + -30x = 12x -126 + 12x = 30 + 30x + -30x Combine like terms: 30x + -30x = 0 -126 + 12x = 30 + 0 -126 + 12x = 30 Add '126' to each side of the equation. -126 + 126 + 12x = 30 + 126 Combine like terms: -126 + 126 = 0 0 + 12x = 30 + 126 12x = 30 + 126 Combine like terms: 30 + 126 = 156 12x = 156 Divide each side by '12'. x = 13 Simplifying x = 13
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