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Simplifying 9(3x + -2) = 2(x + 3) + -15 Reorder the terms: 9(-2 + 3x) = 2(x + 3) + -15 (-2 * 9 + 3x * 9) = 2(x + 3) + -15 (-18 + 27x) = 2(x + 3) + -15 Reorder the terms: -18 + 27x = 2(3 + x) + -15 -18 + 27x = (3 * 2 + x * 2) + -15 -18 + 27x = (6 + 2x) + -15 Reorder the terms: -18 + 27x = 6 + -15 + 2x Combine like terms: 6 + -15 = -9 -18 + 27x = -9 + 2x Solving -18 + 27x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -18 + 27x + -2x = -9 + 2x + -2x Combine like terms: 27x + -2x = 25x -18 + 25x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 25x = -9 + 0 -18 + 25x = -9 Add '18' to each side of the equation. -18 + 18 + 25x = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 25x = -9 + 18 25x = -9 + 18 Combine like terms: -9 + 18 = 9 25x = 9 Divide each side by '25'. x = 0.36 Simplifying x = 0.36
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