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Simplifying 3x + -5(x + 7) = -45 Reorder the terms: 3x + -5(7 + x) = -45 3x + (7 * -5 + x * -5) = -45 3x + (-35 + -5x) = -45 Reorder the terms: -35 + 3x + -5x = -45 Combine like terms: 3x + -5x = -2x -35 + -2x = -45 Solving -35 + -2x = -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 + -2x = -45 + 35 Combine like terms: -35 + 35 = 0 0 + -2x = -45 + 35 -2x = -45 + 35 Combine like terms: -45 + 35 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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