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Simplifying -3(-8x + -2) + 2(3 + x) = 7 + -3x + 1 Reorder the terms: -3(-2 + -8x) + 2(3 + x) = 7 + -3x + 1 (-2 * -3 + -8x * -3) + 2(3 + x) = 7 + -3x + 1 (6 + 24x) + 2(3 + x) = 7 + -3x + 1 6 + 24x + (3 * 2 + x * 2) = 7 + -3x + 1 6 + 24x + (6 + 2x) = 7 + -3x + 1 Reorder the terms: 6 + 6 + 24x + 2x = 7 + -3x + 1 Combine like terms: 6 + 6 = 12 12 + 24x + 2x = 7 + -3x + 1 Combine like terms: 24x + 2x = 26x 12 + 26x = 7 + -3x + 1 Reorder the terms: 12 + 26x = 7 + 1 + -3x Combine like terms: 7 + 1 = 8 12 + 26x = 8 + -3x Solving 12 + 26x = 8 + -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. 12 + 26x + 3x = 8 + -3x + 3x Combine like terms: 26x + 3x = 29x 12 + 29x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 29x = 8 + 0 12 + 29x = 8 Add '-12' to each side of the equation. 12 + -12 + 29x = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 29x = 8 + -12 29x = 8 + -12 Combine like terms: 8 + -12 = -4 29x = -4 Divide each side by '29'. x = -0.1379310345 Simplifying x = -0.1379310345
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