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Simplifying 5(2x + -7) = 15x Reorder the terms: 5(-7 + 2x) = 15x (-7 * 5 + 2x * 5) = 15x (-35 + 10x) = 15x Solving -35 + 10x = 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. -35 + 10x + -15x = 15x + -15x Combine like terms: 10x + -15x = -5x -35 + -5x = 15x + -15x Combine like terms: 15x + -15x = 0 -35 + -5x = 0 Add '35' to each side of the equation. -35 + 35 + -5x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -5x = 0 + 35 -5x = 0 + 35 Combine like terms: 0 + 35 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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