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Simplifying 6(5x + -3) + -5(4x + -7) = 9x + 3 Reorder the terms: 6(-3 + 5x) + -5(4x + -7) = 9x + 3 (-3 * 6 + 5x * 6) + -5(4x + -7) = 9x + 3 (-18 + 30x) + -5(4x + -7) = 9x + 3 Reorder the terms: -18 + 30x + -5(-7 + 4x) = 9x + 3 -18 + 30x + (-7 * -5 + 4x * -5) = 9x + 3 -18 + 30x + (35 + -20x) = 9x + 3 Reorder the terms: -18 + 35 + 30x + -20x = 9x + 3 Combine like terms: -18 + 35 = 17 17 + 30x + -20x = 9x + 3 Combine like terms: 30x + -20x = 10x 17 + 10x = 9x + 3 Reorder the terms: 17 + 10x = 3 + 9x Solving 17 + 10x = 3 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 10x + -9x = 3 + 9x + -9x Combine like terms: 10x + -9x = 1x 17 + 1x = 3 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + 1x = 3 + 0 17 + 1x = 3 Add '-17' to each side of the equation. 17 + -17 + 1x = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 3 + -17 1x = 3 + -17 Combine like terms: 3 + -17 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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