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Simplifying 9(3x + -5) = 4(2x + 3) Reorder the terms: 9(-5 + 3x) = 4(2x + 3) (-5 * 9 + 3x * 9) = 4(2x + 3) (-45 + 27x) = 4(2x + 3) Reorder the terms: -45 + 27x = 4(3 + 2x) -45 + 27x = (3 * 4 + 2x * 4) -45 + 27x = (12 + 8x) Solving -45 + 27x = 12 + 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. -45 + 27x + -8x = 12 + 8x + -8x Combine like terms: 27x + -8x = 19x -45 + 19x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -45 + 19x = 12 + 0 -45 + 19x = 12 Add '45' to each side of the equation. -45 + 45 + 19x = 12 + 45 Combine like terms: -45 + 45 = 0 0 + 19x = 12 + 45 19x = 12 + 45 Combine like terms: 12 + 45 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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