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Simplifying -3(x + 7) = 7(x + 2) + -5 Reorder the terms: -3(7 + x) = 7(x + 2) + -5 (7 * -3 + x * -3) = 7(x + 2) + -5 (-21 + -3x) = 7(x + 2) + -5 Reorder the terms: -21 + -3x = 7(2 + x) + -5 -21 + -3x = (2 * 7 + x * 7) + -5 -21 + -3x = (14 + 7x) + -5 Reorder the terms: -21 + -3x = 14 + -5 + 7x Combine like terms: 14 + -5 = 9 -21 + -3x = 9 + 7x Solving -21 + -3x = 9 + 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. -21 + -3x + -7x = 9 + 7x + -7x Combine like terms: -3x + -7x = -10x -21 + -10x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -10x = 9 + 0 -21 + -10x = 9 Add '21' to each side of the equation. -21 + 21 + -10x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -10x = 9 + 21 -10x = 9 + 21 Combine like terms: 9 + 21 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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