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Simplifying -2x + 5(x + -7) + -10 = 0 Reorder the terms: -2x + 5(-7 + x) + -10 = 0 -2x + (-7 * 5 + x * 5) + -10 = 0 -2x + (-35 + 5x) + -10 = 0 Reorder the terms: -35 + -10 + -2x + 5x = 0 Combine like terms: -35 + -10 = -45 -45 + -2x + 5x = 0 Combine like terms: -2x + 5x = 3x -45 + 3x = 0 Solving -45 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 3x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 3x = 0 + 45 3x = 0 + 45 Combine like terms: 0 + 45 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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