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Simplifying 3(x + 5) = -7x + -45 Reorder the terms: 3(5 + x) = -7x + -45 (5 * 3 + x * 3) = -7x + -45 (15 + 3x) = -7x + -45 Reorder the terms: 15 + 3x = -45 + -7x Solving 15 + 3x = -45 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 15 + 3x + 7x = -45 + -7x + 7x Combine like terms: 3x + 7x = 10x 15 + 10x = -45 + -7x + 7x Combine like terms: -7x + 7x = 0 15 + 10x = -45 + 0 15 + 10x = -45 Add '-15' to each side of the equation. 15 + -15 + 10x = -45 + -15 Combine like terms: 15 + -15 = 0 0 + 10x = -45 + -15 10x = -45 + -15 Combine like terms: -45 + -15 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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