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Simplifying 2(4x + -3) + -5(5x + -3) = 45 Reorder the terms: 2(-3 + 4x) + -5(5x + -3) = 45 (-3 * 2 + 4x * 2) + -5(5x + -3) = 45 (-6 + 8x) + -5(5x + -3) = 45 Reorder the terms: -6 + 8x + -5(-3 + 5x) = 45 -6 + 8x + (-3 * -5 + 5x * -5) = 45 -6 + 8x + (15 + -25x) = 45 Reorder the terms: -6 + 15 + 8x + -25x = 45 Combine like terms: -6 + 15 = 9 9 + 8x + -25x = 45 Combine like terms: 8x + -25x = -17x 9 + -17x = 45 Solving 9 + -17x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -17x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + -17x = 45 + -9 -17x = 45 + -9 Combine like terms: 45 + -9 = 36 -17x = 36 Divide each side by '-17'. x = -2.117647059 Simplifying x = -2.117647059
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