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Simplifying 8x + -3(x + -7) = 3(x + 2) + -2 Reorder the terms: 8x + -3(-7 + x) = 3(x + 2) + -2 8x + (-7 * -3 + x * -3) = 3(x + 2) + -2 8x + (21 + -3x) = 3(x + 2) + -2 Reorder the terms: 21 + 8x + -3x = 3(x + 2) + -2 Combine like terms: 8x + -3x = 5x 21 + 5x = 3(x + 2) + -2 Reorder the terms: 21 + 5x = 3(2 + x) + -2 21 + 5x = (2 * 3 + x * 3) + -2 21 + 5x = (6 + 3x) + -2 Reorder the terms: 21 + 5x = 6 + -2 + 3x Combine like terms: 6 + -2 = 4 21 + 5x = 4 + 3x Solving 21 + 5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + 5x + -3x = 4 + 3x + -3x Combine like terms: 5x + -3x = 2x 21 + 2x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 2x = 4 + 0 21 + 2x = 4 Add '-21' to each side of the equation. 21 + -21 + 2x = 4 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 4 + -21 2x = 4 + -21 Combine like terms: 4 + -21 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5
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