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Simplifying 5(2x + -9) + 2(5x + -3) = 3(3x + -5) + -17x + 6 Reorder the terms: 5(-9 + 2x) + 2(5x + -3) = 3(3x + -5) + -17x + 6 (-9 * 5 + 2x * 5) + 2(5x + -3) = 3(3x + -5) + -17x + 6 (-45 + 10x) + 2(5x + -3) = 3(3x + -5) + -17x + 6 Reorder the terms: -45 + 10x + 2(-3 + 5x) = 3(3x + -5) + -17x + 6 -45 + 10x + (-3 * 2 + 5x * 2) = 3(3x + -5) + -17x + 6 -45 + 10x + (-6 + 10x) = 3(3x + -5) + -17x + 6 Reorder the terms: -45 + -6 + 10x + 10x = 3(3x + -5) + -17x + 6 Combine like terms: -45 + -6 = -51 -51 + 10x + 10x = 3(3x + -5) + -17x + 6 Combine like terms: 10x + 10x = 20x -51 + 20x = 3(3x + -5) + -17x + 6 Reorder the terms: -51 + 20x = 3(-5 + 3x) + -17x + 6 -51 + 20x = (-5 * 3 + 3x * 3) + -17x + 6 -51 + 20x = (-15 + 9x) + -17x + 6 Reorder the terms: -51 + 20x = -15 + 6 + 9x + -17x Combine like terms: -15 + 6 = -9 -51 + 20x = -9 + 9x + -17x Combine like terms: 9x + -17x = -8x -51 + 20x = -9 + -8x Solving -51 + 20x = -9 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -51 + 20x + 8x = -9 + -8x + 8x Combine like terms: 20x + 8x = 28x -51 + 28x = -9 + -8x + 8x Combine like terms: -8x + 8x = 0 -51 + 28x = -9 + 0 -51 + 28x = -9 Add '51' to each side of the equation. -51 + 51 + 28x = -9 + 51 Combine like terms: -51 + 51 = 0 0 + 28x = -9 + 51 28x = -9 + 51 Combine like terms: -9 + 51 = 42 28x = 42 Divide each side by '28'. x = 1.5 Simplifying x = 1.5
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