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Simplifying 9(2x + -5) = 3(4x + 7) Reorder the terms: 9(-5 + 2x) = 3(4x + 7) (-5 * 9 + 2x * 9) = 3(4x + 7) (-45 + 18x) = 3(4x + 7) Reorder the terms: -45 + 18x = 3(7 + 4x) -45 + 18x = (7 * 3 + 4x * 3) -45 + 18x = (21 + 12x) Solving -45 + 18x = 21 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -45 + 18x + -12x = 21 + 12x + -12x Combine like terms: 18x + -12x = 6x -45 + 6x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 -45 + 6x = 21 + 0 -45 + 6x = 21 Add '45' to each side of the equation. -45 + 45 + 6x = 21 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = 21 + 45 6x = 21 + 45 Combine like terms: 21 + 45 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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