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Simplifying 8(x + -1) + -3(x + 4) = 7(2 + -1x) Reorder the terms: 8(-1 + x) + -3(x + 4) = 7(2 + -1x) (-1 * 8 + x * 8) + -3(x + 4) = 7(2 + -1x) (-8 + 8x) + -3(x + 4) = 7(2 + -1x) Reorder the terms: -8 + 8x + -3(4 + x) = 7(2 + -1x) -8 + 8x + (4 * -3 + x * -3) = 7(2 + -1x) -8 + 8x + (-12 + -3x) = 7(2 + -1x) Reorder the terms: -8 + -12 + 8x + -3x = 7(2 + -1x) Combine like terms: -8 + -12 = -20 -20 + 8x + -3x = 7(2 + -1x) Combine like terms: 8x + -3x = 5x -20 + 5x = 7(2 + -1x) -20 + 5x = (2 * 7 + -1x * 7) -20 + 5x = (14 + -7x) Solving -20 + 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. -20 + 5x + 7x = 14 + -7x + 7x Combine like terms: 5x + 7x = 12x -20 + 12x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 -20 + 12x = 14 + 0 -20 + 12x = 14 Add '20' to each side of the equation. -20 + 20 + 12x = 14 + 20 Combine like terms: -20 + 20 = 0 0 + 12x = 14 + 20 12x = 14 + 20 Combine like terms: 14 + 20 = 34 12x = 34 Divide each side by '12'. x = 2.833333333 Simplifying x = 2.833333333
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