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Simplifying 3(2x + -5) + 5(x + 4) = 170 Reorder the terms: 3(-5 + 2x) + 5(x + 4) = 170 (-5 * 3 + 2x * 3) + 5(x + 4) = 170 (-15 + 6x) + 5(x + 4) = 170 Reorder the terms: -15 + 6x + 5(4 + x) = 170 -15 + 6x + (4 * 5 + x * 5) = 170 -15 + 6x + (20 + 5x) = 170 Reorder the terms: -15 + 20 + 6x + 5x = 170 Combine like terms: -15 + 20 = 5 5 + 6x + 5x = 170 Combine like terms: 6x + 5x = 11x 5 + 11x = 170 Solving 5 + 11x = 170 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11x = 170 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 170 + -5 11x = 170 + -5 Combine like terms: 170 + -5 = 165 11x = 165 Divide each side by '11'. x = 15 Simplifying x = 15
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