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Simplifying 7(x + -2) = 6(x + 5) Reorder the terms: 7(-2 + x) = 6(x + 5) (-2 * 7 + x * 7) = 6(x + 5) (-14 + 7x) = 6(x + 5) Reorder the terms: -14 + 7x = 6(5 + x) -14 + 7x = (5 * 6 + x * 6) -14 + 7x = (30 + 6x) Solving -14 + 7x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 7x + -6x = 30 + 6x + -6x Combine like terms: 7x + -6x = 1x -14 + 1x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + 1x = 30 + 0 -14 + 1x = 30 Add '14' to each side of the equation. -14 + 14 + 1x = 30 + 14 Combine like terms: -14 + 14 = 0 0 + 1x = 30 + 14 1x = 30 + 14 Combine like terms: 30 + 14 = 44 1x = 44 Divide each side by '1'. x = 44 Simplifying x = 44
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