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Simplifying -7(2x + 5) + 4x = 45 Reorder the terms: -7(5 + 2x) + 4x = 45 (5 * -7 + 2x * -7) + 4x = 45 (-35 + -14x) + 4x = 45 Combine like terms: -14x + 4x = -10x -35 + -10x = 45 Solving -35 + -10x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -10x = 45 + 35 Combine like terms: -35 + 35 = 0 0 + -10x = 45 + 35 -10x = 45 + 35 Combine like terms: 45 + 35 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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