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Simplifying 8(4x + -12) + -4(1 + -1x) = 2 Reorder the terms: 8(-12 + 4x) + -4(1 + -1x) = 2 (-12 * 8 + 4x * 8) + -4(1 + -1x) = 2 (-96 + 32x) + -4(1 + -1x) = 2 -96 + 32x + (1 * -4 + -1x * -4) = 2 -96 + 32x + (-4 + 4x) = 2 Reorder the terms: -96 + -4 + 32x + 4x = 2 Combine like terms: -96 + -4 = -100 -100 + 32x + 4x = 2 Combine like terms: 32x + 4x = 36x -100 + 36x = 2 Solving -100 + 36x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 36x = 2 + 100 Combine like terms: -100 + 100 = 0 0 + 36x = 2 + 100 36x = 2 + 100 Combine like terms: 2 + 100 = 102 36x = 102 Divide each side by '36'. x = 2.833333333 Simplifying x = 2.833333333
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