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Simplifying 5(2x + -7) + -2 = 5(x + -5) + 8 Reorder the terms: 5(-7 + 2x) + -2 = 5(x + -5) + 8 (-7 * 5 + 2x * 5) + -2 = 5(x + -5) + 8 (-35 + 10x) + -2 = 5(x + -5) + 8 Reorder the terms: -35 + -2 + 10x = 5(x + -5) + 8 Combine like terms: -35 + -2 = -37 -37 + 10x = 5(x + -5) + 8 Reorder the terms: -37 + 10x = 5(-5 + x) + 8 -37 + 10x = (-5 * 5 + x * 5) + 8 -37 + 10x = (-25 + 5x) + 8 Reorder the terms: -37 + 10x = -25 + 8 + 5x Combine like terms: -25 + 8 = -17 -37 + 10x = -17 + 5x Solving -37 + 10x = -17 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -37 + 10x + -5x = -17 + 5x + -5x Combine like terms: 10x + -5x = 5x -37 + 5x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -37 + 5x = -17 + 0 -37 + 5x = -17 Add '37' to each side of the equation. -37 + 37 + 5x = -17 + 37 Combine like terms: -37 + 37 = 0 0 + 5x = -17 + 37 5x = -17 + 37 Combine like terms: -17 + 37 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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