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Simplifying 5(5x + -6) = 3(2x + 9) Reorder the terms: 5(-6 + 5x) = 3(2x + 9) (-6 * 5 + 5x * 5) = 3(2x + 9) (-30 + 25x) = 3(2x + 9) Reorder the terms: -30 + 25x = 3(9 + 2x) -30 + 25x = (9 * 3 + 2x * 3) -30 + 25x = (27 + 6x) Solving -30 + 25x = 27 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 25x + -6x = 27 + 6x + -6x Combine like terms: 25x + -6x = 19x -30 + 19x = 27 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + 19x = 27 + 0 -30 + 19x = 27 Add '30' to each side of the equation. -30 + 30 + 19x = 27 + 30 Combine like terms: -30 + 30 = 0 0 + 19x = 27 + 30 19x = 27 + 30 Combine like terms: 27 + 30 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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