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Simplifying 4(5x + -3) + -3(2x + -5) = 17 Reorder the terms: 4(-3 + 5x) + -3(2x + -5) = 17 (-3 * 4 + 5x * 4) + -3(2x + -5) = 17 (-12 + 20x) + -3(2x + -5) = 17 Reorder the terms: -12 + 20x + -3(-5 + 2x) = 17 -12 + 20x + (-5 * -3 + 2x * -3) = 17 -12 + 20x + (15 + -6x) = 17 Reorder the terms: -12 + 15 + 20x + -6x = 17 Combine like terms: -12 + 15 = 3 3 + 20x + -6x = 17 Combine like terms: 20x + -6x = 14x 3 + 14x = 17 Solving 3 + 14x = 17 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 = 17 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 17 + -3 14x = 17 + -3 Combine like terms: 17 + -3 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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