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Simplifying 8(x + 8) + -3(x + 4) = 7(2 + -1x) Reorder the terms: 8(8 + x) + -3(x + 4) = 7(2 + -1x) (8 * 8 + x * 8) + -3(x + 4) = 7(2 + -1x) (64 + 8x) + -3(x + 4) = 7(2 + -1x) Reorder the terms: 64 + 8x + -3(4 + x) = 7(2 + -1x) 64 + 8x + (4 * -3 + x * -3) = 7(2 + -1x) 64 + 8x + (-12 + -3x) = 7(2 + -1x) Reorder the terms: 64 + -12 + 8x + -3x = 7(2 + -1x) Combine like terms: 64 + -12 = 52 52 + 8x + -3x = 7(2 + -1x) Combine like terms: 8x + -3x = 5x 52 + 5x = 7(2 + -1x) 52 + 5x = (2 * 7 + -1x * 7) 52 + 5x = (14 + -7x) Solving 52 + 5x = 14 + -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. 52 + 5x + 7x = 14 + -7x + 7x Combine like terms: 5x + 7x = 12x 52 + 12x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 52 + 12x = 14 + 0 52 + 12x = 14 Add '-52' to each side of the equation. 52 + -52 + 12x = 14 + -52 Combine like terms: 52 + -52 = 0 0 + 12x = 14 + -52 12x = 14 + -52 Combine like terms: 14 + -52 = -38 12x = -38 Divide each side by '12'. x = -3.166666667 Simplifying x = -3.166666667
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