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Simplifying 4(6x + -9) + -1(4x + -5) = 29 Reorder the terms: 4(-9 + 6x) + -1(4x + -5) = 29 (-9 * 4 + 6x * 4) + -1(4x + -5) = 29 (-36 + 24x) + -1(4x + -5) = 29 Reorder the terms: -36 + 24x + -1(-5 + 4x) = 29 -36 + 24x + (-5 * -1 + 4x * -1) = 29 -36 + 24x + (5 + -4x) = 29 Reorder the terms: -36 + 5 + 24x + -4x = 29 Combine like terms: -36 + 5 = -31 -31 + 24x + -4x = 29 Combine like terms: 24x + -4x = 20x -31 + 20x = 29 Solving -31 + 20x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 20x = 29 + 31 Combine like terms: -31 + 31 = 0 0 + 20x = 29 + 31 20x = 29 + 31 Combine like terms: 29 + 31 = 60 20x = 60 Divide each side by '20'. x = 3 Simplifying x = 3
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