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Simplifying 4(4x + -9) + -8 = 4(x + -2) + 36 Reorder the terms: 4(-9 + 4x) + -8 = 4(x + -2) + 36 (-9 * 4 + 4x * 4) + -8 = 4(x + -2) + 36 (-36 + 16x) + -8 = 4(x + -2) + 36 Reorder the terms: -36 + -8 + 16x = 4(x + -2) + 36 Combine like terms: -36 + -8 = -44 -44 + 16x = 4(x + -2) + 36 Reorder the terms: -44 + 16x = 4(-2 + x) + 36 -44 + 16x = (-2 * 4 + x * 4) + 36 -44 + 16x = (-8 + 4x) + 36 Reorder the terms: -44 + 16x = -8 + 36 + 4x Combine like terms: -8 + 36 = 28 -44 + 16x = 28 + 4x Solving -44 + 16x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -44 + 16x + -4x = 28 + 4x + -4x Combine like terms: 16x + -4x = 12x -44 + 12x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 -44 + 12x = 28 + 0 -44 + 12x = 28 Add '44' to each side of the equation. -44 + 44 + 12x = 28 + 44 Combine like terms: -44 + 44 = 0 0 + 12x = 28 + 44 12x = 28 + 44 Combine like terms: 28 + 44 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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