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Simplifying 15(2x + -3) = 27x + -30 Reorder the terms: 15(-3 + 2x) = 27x + -30 (-3 * 15 + 2x * 15) = 27x + -30 (-45 + 30x) = 27x + -30 Reorder the terms: -45 + 30x = -30 + 27x Solving -45 + 30x = -30 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. -45 + 30x + -27x = -30 + 27x + -27x Combine like terms: 30x + -27x = 3x -45 + 3x = -30 + 27x + -27x Combine like terms: 27x + -27x = 0 -45 + 3x = -30 + 0 -45 + 3x = -30 Add '45' to each side of the equation. -45 + 45 + 3x = -30 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = -30 + 45 3x = -30 + 45 Combine like terms: -30 + 45 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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