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Simplifying -3(x + -7) = 2(x + 5) + 1 Reorder the terms: -3(-7 + x) = 2(x + 5) + 1 (-7 * -3 + x * -3) = 2(x + 5) + 1 (21 + -3x) = 2(x + 5) + 1 Reorder the terms: 21 + -3x = 2(5 + x) + 1 21 + -3x = (5 * 2 + x * 2) + 1 21 + -3x = (10 + 2x) + 1 Reorder the terms: 21 + -3x = 10 + 1 + 2x Combine like terms: 10 + 1 = 11 21 + -3x = 11 + 2x Solving 21 + -3x = 11 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + -3x + -2x = 11 + 2x + -2x Combine like terms: -3x + -2x = -5x 21 + -5x = 11 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + -5x = 11 + 0 21 + -5x = 11 Add '-21' to each side of the equation. 21 + -21 + -5x = 11 + -21 Combine like terms: 21 + -21 = 0 0 + -5x = 11 + -21 -5x = 11 + -21 Combine like terms: 11 + -21 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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