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Simplifying 2(-3x + 1) + -5(2x + -3) = 2 Reorder the terms: 2(1 + -3x) + -5(2x + -3) = 2 (1 * 2 + -3x * 2) + -5(2x + -3) = 2 (2 + -6x) + -5(2x + -3) = 2 Reorder the terms: 2 + -6x + -5(-3 + 2x) = 2 2 + -6x + (-3 * -5 + 2x * -5) = 2 2 + -6x + (15 + -10x) = 2 Reorder the terms: 2 + 15 + -6x + -10x = 2 Combine like terms: 2 + 15 = 17 17 + -6x + -10x = 2 Combine like terms: -6x + -10x = -16x 17 + -16x = 2 Solving 17 + -16x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -16x = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -16x = 2 + -17 -16x = 2 + -17 Combine like terms: 2 + -17 = -15 -16x = -15 Divide each side by '-16'. x = 0.9375 Simplifying x = 0.9375
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