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Simplifying 4(-4x + -4) + 8(2 + 5x) = (64 + 25x) Reorder the terms: 4(-4 + -4x) + 8(2 + 5x) = (64 + 25x) (-4 * 4 + -4x * 4) + 8(2 + 5x) = (64 + 25x) (-16 + -16x) + 8(2 + 5x) = (64 + 25x) -16 + -16x + (2 * 8 + 5x * 8) = (64 + 25x) -16 + -16x + (16 + 40x) = (64 + 25x) Reorder the terms: -16 + 16 + -16x + 40x = (64 + 25x) Combine like terms: -16 + 16 = 0 0 + -16x + 40x = (64 + 25x) -16x + 40x = (64 + 25x) Combine like terms: -16x + 40x = 24x 24x = (64 + 25x) Remove parenthesis around (64 + 25x) 24x = 64 + 25x Solving 24x = 64 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 24x + -25x = 64 + 25x + -25x Combine like terms: 24x + -25x = -1x -1x = 64 + 25x + -25x Combine like terms: 25x + -25x = 0 -1x = 64 + 0 -1x = 64 Divide each side by '-1'. x = -64 Simplifying x = -64
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