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Simplifying 7(x + -6) = 2(2x + 9) Reorder the terms: 7(-6 + x) = 2(2x + 9) (-6 * 7 + x * 7) = 2(2x + 9) (-42 + 7x) = 2(2x + 9) Reorder the terms: -42 + 7x = 2(9 + 2x) -42 + 7x = (9 * 2 + 2x * 2) -42 + 7x = (18 + 4x) Solving -42 + 7x = 18 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -42 + 7x + -4x = 18 + 4x + -4x Combine like terms: 7x + -4x = 3x -42 + 3x = 18 + 4x + -4x Combine like terms: 4x + -4x = 0 -42 + 3x = 18 + 0 -42 + 3x = 18 Add '42' to each side of the equation. -42 + 42 + 3x = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 3x = 18 + 42 3x = 18 + 42 Combine like terms: 18 + 42 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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