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Simplifying -5(3x + -3) + 7 = 15x + 22 Reorder the terms: -5(-3 + 3x) + 7 = 15x + 22 (-3 * -5 + 3x * -5) + 7 = 15x + 22 (15 + -15x) + 7 = 15x + 22 Reorder the terms: 15 + 7 + -15x = 15x + 22 Combine like terms: 15 + 7 = 22 22 + -15x = 15x + 22 Reorder the terms: 22 + -15x = 22 + 15x Add '-22' to each side of the equation. 22 + -22 + -15x = 22 + -22 + 15x Combine like terms: 22 + -22 = 0 0 + -15x = 22 + -22 + 15x -15x = 22 + -22 + 15x Combine like terms: 22 + -22 = 0 -15x = 0 + 15x -15x = 15x Solving -15x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -15x + -15x = 15x + -15x Combine like terms: -15x + -15x = -30x -30x = 15x + -15x Combine like terms: 15x + -15x = 0 -30x = 0 Divide each side by '-30'. x = 0.0 Simplifying x = 0.0
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