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Simplifying 8(x + 1) + -4(x + -3) + -1x = 2 Reorder the terms: 8(1 + x) + -4(x + -3) + -1x = 2 (1 * 8 + x * 8) + -4(x + -3) + -1x = 2 (8 + 8x) + -4(x + -3) + -1x = 2 Reorder the terms: 8 + 8x + -4(-3 + x) + -1x = 2 8 + 8x + (-3 * -4 + x * -4) + -1x = 2 8 + 8x + (12 + -4x) + -1x = 2 Reorder the terms: 8 + 12 + 8x + -4x + -1x = 2 Combine like terms: 8 + 12 = 20 20 + 8x + -4x + -1x = 2 Combine like terms: 8x + -4x = 4x 20 + 4x + -1x = 2 Combine like terms: 4x + -1x = 3x 20 + 3x = 2 Solving 20 + 3x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 3x = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 2 + -20 3x = 2 + -20 Combine like terms: 2 + -20 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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