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Simplifying f(0) = 2(2x + -5) + 6(2x + 6) Reorder the terms for easier multiplication: 0f = 2(2x + -5) + 6(2x + 6) Anything times zero is zero. 0f = 2(2x + -5) + 6(2x + 6) Reorder the terms: 0 = 2(-5 + 2x) + 6(2x + 6) 0 = (-5 * 2 + 2x * 2) + 6(2x + 6) 0 = (-10 + 4x) + 6(2x + 6) Reorder the terms: 0 = -10 + 4x + 6(6 + 2x) 0 = -10 + 4x + (6 * 6 + 2x * 6) 0 = -10 + 4x + (36 + 12x) Reorder the terms: 0 = -10 + 36 + 4x + 12x Combine like terms: -10 + 36 = 26 0 = 26 + 4x + 12x Combine like terms: 4x + 12x = 16x 0 = 26 + 16x Solving 0 = 26 + 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. 0 + -16x = 26 + 16x + -16x Remove the zero: -16x = 26 + 16x + -16x Combine like terms: 16x + -16x = 0 -16x = 26 + 0 -16x = 26 Divide each side by '-16'. x = -1.625 Simplifying x = -1.625
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