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Simplifying -7(5x + 2) = 7(-5 + -2) Reorder the terms: -7(2 + 5x) = 7(-5 + -2) (2 * -7 + 5x * -7) = 7(-5 + -2) (-14 + -35x) = 7(-5 + -2) Combine like terms: -5 + -2 = -7 -14 + -35x = 7(-7) Multiply 7 * -7 -14 + -35x = -49 Solving -14 + -35x = -49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -35x = -49 + 14 Combine like terms: -14 + 14 = 0 0 + -35x = -49 + 14 -35x = -49 + 14 Combine like terms: -49 + 14 = -35 -35x = -35 Divide each side by '-35'. x = 1 Simplifying x = 1
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