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Simplifying -2(7x + 45) = -4(x + 25) Reorder the terms: -2(45 + 7x) = -4(x + 25) (45 * -2 + 7x * -2) = -4(x + 25) (-90 + -14x) = -4(x + 25) Reorder the terms: -90 + -14x = -4(25 + x) -90 + -14x = (25 * -4 + x * -4) -90 + -14x = (-100 + -4x) Solving -90 + -14x = -100 + -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. -90 + -14x + 4x = -100 + -4x + 4x Combine like terms: -14x + 4x = -10x -90 + -10x = -100 + -4x + 4x Combine like terms: -4x + 4x = 0 -90 + -10x = -100 + 0 -90 + -10x = -100 Add '90' to each side of the equation. -90 + 90 + -10x = -100 + 90 Combine like terms: -90 + 90 = 0 0 + -10x = -100 + 90 -10x = -100 + 90 Combine like terms: -100 + 90 = -10 -10x = -10 Divide each side by '-10'. x = 1 Simplifying x = 1
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