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Simplifying 6(2x + -3) = 15(3x + 6) Reorder the terms: 6(-3 + 2x) = 15(3x + 6) (-3 * 6 + 2x * 6) = 15(3x + 6) (-18 + 12x) = 15(3x + 6) Reorder the terms: -18 + 12x = 15(6 + 3x) -18 + 12x = (6 * 15 + 3x * 15) -18 + 12x = (90 + 45x) Solving -18 + 12x = 90 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -18 + 12x + -45x = 90 + 45x + -45x Combine like terms: 12x + -45x = -33x -18 + -33x = 90 + 45x + -45x Combine like terms: 45x + -45x = 0 -18 + -33x = 90 + 0 -18 + -33x = 90 Add '18' to each side of the equation. -18 + 18 + -33x = 90 + 18 Combine like terms: -18 + 18 = 0 0 + -33x = 90 + 18 -33x = 90 + 18 Combine like terms: 90 + 18 = 108 -33x = 108 Divide each side by '-33'. x = -3.272727273 Simplifying x = -3.272727273
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