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Simplifying 29(3x + -4) = 4(5x + 2) Reorder the terms: 29(-4 + 3x) = 4(5x + 2) (-4 * 29 + 3x * 29) = 4(5x + 2) (-116 + 87x) = 4(5x + 2) Reorder the terms: -116 + 87x = 4(2 + 5x) -116 + 87x = (2 * 4 + 5x * 4) -116 + 87x = (8 + 20x) Solving -116 + 87x = 8 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -116 + 87x + -20x = 8 + 20x + -20x Combine like terms: 87x + -20x = 67x -116 + 67x = 8 + 20x + -20x Combine like terms: 20x + -20x = 0 -116 + 67x = 8 + 0 -116 + 67x = 8 Add '116' to each side of the equation. -116 + 116 + 67x = 8 + 116 Combine like terms: -116 + 116 = 0 0 + 67x = 8 + 116 67x = 8 + 116 Combine like terms: 8 + 116 = 124 67x = 124 Divide each side by '67'. x = 1.850746269 Simplifying x = 1.850746269
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