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Simplifying 4(-4x + -4) = 4[2x + 2(x + -9)] Reorder the terms: 4(-4 + -4x) = 4[2x + 2(x + -9)] (-4 * 4 + -4x * 4) = 4[2x + 2(x + -9)] (-16 + -16x) = 4[2x + 2(x + -9)] Reorder the terms: -16 + -16x = 4[2x + 2(-9 + x)] -16 + -16x = 4[2x + (-9 * 2 + x * 2)] -16 + -16x = 4[2x + (-18 + 2x)] Reorder the terms: -16 + -16x = 4[-18 + 2x + 2x] Combine like terms: 2x + 2x = 4x -16 + -16x = 4[-18 + 4x] -16 + -16x = [-18 * 4 + 4x * 4] -16 + -16x = [-72 + 16x] Solving -16 + -16x = -72 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -16 + -16x + -16x = -72 + 16x + -16x Combine like terms: -16x + -16x = -32x -16 + -32x = -72 + 16x + -16x Combine like terms: 16x + -16x = 0 -16 + -32x = -72 + 0 -16 + -32x = -72 Add '16' to each side of the equation. -16 + 16 + -32x = -72 + 16 Combine like terms: -16 + 16 = 0 0 + -32x = -72 + 16 -32x = -72 + 16 Combine like terms: -72 + 16 = -56 -32x = -56 Divide each side by '-32'. x = 1.75 Simplifying x = 1.75
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