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Simplifying 15x + -10 = 5(2x + -7) Reorder the terms: -10 + 15x = 5(2x + -7) Reorder the terms: -10 + 15x = 5(-7 + 2x) -10 + 15x = (-7 * 5 + 2x * 5) -10 + 15x = (-35 + 10x) Solving -10 + 15x = -35 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -10 + 15x + -10x = -35 + 10x + -10x Combine like terms: 15x + -10x = 5x -10 + 5x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 -10 + 5x = -35 + 0 -10 + 5x = -35 Add '10' to each side of the equation. -10 + 10 + 5x = -35 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = -35 + 10 5x = -35 + 10 Combine like terms: -35 + 10 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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