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Simplifying -6(x + 7) = 9(x + 2) Reorder the terms: -6(7 + x) = 9(x + 2) (7 * -6 + x * -6) = 9(x + 2) (-42 + -6x) = 9(x + 2) Reorder the terms: -42 + -6x = 9(2 + x) -42 + -6x = (2 * 9 + x * 9) -42 + -6x = (18 + 9x) Solving -42 + -6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -42 + -6x + -9x = 18 + 9x + -9x Combine like terms: -6x + -9x = -15x -42 + -15x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -42 + -15x = 18 + 0 -42 + -15x = 18 Add '42' to each side of the equation. -42 + 42 + -15x = 18 + 42 Combine like terms: -42 + 42 = 0 0 + -15x = 18 + 42 -15x = 18 + 42 Combine like terms: 18 + 42 = 60 -15x = 60 Divide each side by '-15'. x = -4 Simplifying x = -4
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