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Simplifying 5(5x + 5) + 2(2x + 5) + 3 = 35x + 39 Reorder the terms: 5(5 + 5x) + 2(2x + 5) + 3 = 35x + 39 (5 * 5 + 5x * 5) + 2(2x + 5) + 3 = 35x + 39 (25 + 25x) + 2(2x + 5) + 3 = 35x + 39 Reorder the terms: 25 + 25x + 2(5 + 2x) + 3 = 35x + 39 25 + 25x + (5 * 2 + 2x * 2) + 3 = 35x + 39 25 + 25x + (10 + 4x) + 3 = 35x + 39 Reorder the terms: 25 + 10 + 3 + 25x + 4x = 35x + 39 Combine like terms: 25 + 10 = 35 35 + 3 + 25x + 4x = 35x + 39 Combine like terms: 35 + 3 = 38 38 + 25x + 4x = 35x + 39 Combine like terms: 25x + 4x = 29x 38 + 29x = 35x + 39 Reorder the terms: 38 + 29x = 39 + 35x Solving 38 + 29x = 39 + 35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35x' to each side of the equation. 38 + 29x + -35x = 39 + 35x + -35x Combine like terms: 29x + -35x = -6x 38 + -6x = 39 + 35x + -35x Combine like terms: 35x + -35x = 0 38 + -6x = 39 + 0 38 + -6x = 39 Add '-38' to each side of the equation. 38 + -38 + -6x = 39 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = 39 + -38 -6x = 39 + -38 Combine like terms: 39 + -38 = 1 -6x = 1 Divide each side by '-6'. x = -0.1666666667 Simplifying x = -0.1666666667
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