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Simplifying 4(4x + -9) + -5 = 4(x + -2) + 39 Reorder the terms: 4(-9 + 4x) + -5 = 4(x + -2) + 39 (-9 * 4 + 4x * 4) + -5 = 4(x + -2) + 39 (-36 + 16x) + -5 = 4(x + -2) + 39 Reorder the terms: -36 + -5 + 16x = 4(x + -2) + 39 Combine like terms: -36 + -5 = -41 -41 + 16x = 4(x + -2) + 39 Reorder the terms: -41 + 16x = 4(-2 + x) + 39 -41 + 16x = (-2 * 4 + x * 4) + 39 -41 + 16x = (-8 + 4x) + 39 Reorder the terms: -41 + 16x = -8 + 39 + 4x Combine like terms: -8 + 39 = 31 -41 + 16x = 31 + 4x Solving -41 + 16x = 31 + 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. -41 + 16x + -4x = 31 + 4x + -4x Combine like terms: 16x + -4x = 12x -41 + 12x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 -41 + 12x = 31 + 0 -41 + 12x = 31 Add '41' to each side of the equation. -41 + 41 + 12x = 31 + 41 Combine like terms: -41 + 41 = 0 0 + 12x = 31 + 41 12x = 31 + 41 Combine like terms: 31 + 41 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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