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Simplifying 17(2 + -3x) + -15(2x + -3) = 17 (2 * 17 + -3x * 17) + -15(2x + -3) = 17 (34 + -51x) + -15(2x + -3) = 17 Reorder the terms: 34 + -51x + -15(-3 + 2x) = 17 34 + -51x + (-3 * -15 + 2x * -15) = 17 34 + -51x + (45 + -30x) = 17 Reorder the terms: 34 + 45 + -51x + -30x = 17 Combine like terms: 34 + 45 = 79 79 + -51x + -30x = 17 Combine like terms: -51x + -30x = -81x 79 + -81x = 17 Solving 79 + -81x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + -79 + -81x = 17 + -79 Combine like terms: 79 + -79 = 0 0 + -81x = 17 + -79 -81x = 17 + -79 Combine like terms: 17 + -79 = -62 -81x = -62 Divide each side by '-81'. x = 0.7654320988 Simplifying x = 0.7654320988
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