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Simplifying -4(-1 + -4x) + 3(8x + -4) = 32 (-1 * -4 + -4x * -4) + 3(8x + -4) = 32 (4 + 16x) + 3(8x + -4) = 32 Reorder the terms: 4 + 16x + 3(-4 + 8x) = 32 4 + 16x + (-4 * 3 + 8x * 3) = 32 4 + 16x + (-12 + 24x) = 32 Reorder the terms: 4 + -12 + 16x + 24x = 32 Combine like terms: 4 + -12 = -8 -8 + 16x + 24x = 32 Combine like terms: 16x + 24x = 40x -8 + 40x = 32 Solving -8 + 40x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 40x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 40x = 32 + 8 40x = 32 + 8 Combine like terms: 32 + 8 = 40 40x = 40 Divide each side by '40'. x = 1 Simplifying x = 1
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