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Simplifying 5(3x + -9) = 2x + -15 + 7x Reorder the terms: 5(-9 + 3x) = 2x + -15 + 7x (-9 * 5 + 3x * 5) = 2x + -15 + 7x (-45 + 15x) = 2x + -15 + 7x Reorder the terms: -45 + 15x = -15 + 2x + 7x Combine like terms: 2x + 7x = 9x -45 + 15x = -15 + 9x Solving -45 + 15x = -15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -45 + 15x + -9x = -15 + 9x + -9x Combine like terms: 15x + -9x = 6x -45 + 6x = -15 + 9x + -9x Combine like terms: 9x + -9x = 0 -45 + 6x = -15 + 0 -45 + 6x = -15 Add '45' to each side of the equation. -45 + 45 + 6x = -15 + 45 Combine like terms: -45 + 45 = 0 0 + 6x = -15 + 45 6x = -15 + 45 Combine like terms: -15 + 45 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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