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Simplifying 5x + 3(5x + 2) = 2(3x + -4) + 17 Reorder the terms: 5x + 3(2 + 5x) = 2(3x + -4) + 17 5x + (2 * 3 + 5x * 3) = 2(3x + -4) + 17 5x + (6 + 15x) = 2(3x + -4) + 17 Reorder the terms: 6 + 5x + 15x = 2(3x + -4) + 17 Combine like terms: 5x + 15x = 20x 6 + 20x = 2(3x + -4) + 17 Reorder the terms: 6 + 20x = 2(-4 + 3x) + 17 6 + 20x = (-4 * 2 + 3x * 2) + 17 6 + 20x = (-8 + 6x) + 17 Reorder the terms: 6 + 20x = -8 + 17 + 6x Combine like terms: -8 + 17 = 9 6 + 20x = 9 + 6x Solving 6 + 20x = 9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 6 + 20x + -6x = 9 + 6x + -6x Combine like terms: 20x + -6x = 14x 6 + 14x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + 14x = 9 + 0 6 + 14x = 9 Add '-6' to each side of the equation. 6 + -6 + 14x = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 9 + -6 14x = 9 + -6 Combine like terms: 9 + -6 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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