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Simplifying 36 + 4(x + 2x2) = 2(8x + 4x2) 36 + (x * 4 + 2x2 * 4) = 2(8x + 4x2) 36 + (4x + 8x2) = 2(8x + 4x2) 36 + 4x + 8x2 = (8x * 2 + 4x2 * 2) 36 + 4x + 8x2 = (16x + 8x2) Add '-8x2' to each side of the equation. 36 + 4x + 8x2 + -8x2 = 16x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 36 + 4x + 0 = 16x + 8x2 + -8x2 36 + 4x = 16x + 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 36 + 4x = 16x + 0 36 + 4x = 16x Solving 36 + 4x = 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. 36 + 4x + -16x = 16x + -16x Combine like terms: 4x + -16x = -12x 36 + -12x = 16x + -16x Combine like terms: 16x + -16x = 0 36 + -12x = 0 Add '-36' to each side of the equation. 36 + -36 + -12x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -12x = 0 + -36 -12x = 0 + -36 Combine like terms: 0 + -36 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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