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Simplifying -5(4x + -1) + 2(3x + -4) = 29 Reorder the terms: -5(-1 + 4x) + 2(3x + -4) = 29 (-1 * -5 + 4x * -5) + 2(3x + -4) = 29 (5 + -20x) + 2(3x + -4) = 29 Reorder the terms: 5 + -20x + 2(-4 + 3x) = 29 5 + -20x + (-4 * 2 + 3x * 2) = 29 5 + -20x + (-8 + 6x) = 29 Reorder the terms: 5 + -8 + -20x + 6x = 29 Combine like terms: 5 + -8 = -3 -3 + -20x + 6x = 29 Combine like terms: -20x + 6x = -14x -3 + -14x = 29 Solving -3 + -14x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -14x = 29 + 3 Combine like terms: -3 + 3 = 0 0 + -14x = 29 + 3 -14x = 29 + 3 Combine like terms: 29 + 3 = 32 -14x = 32 Divide each side by '-14'. x = -2.285714286 Simplifying x = -2.285714286
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