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Simplifying 5(3x + -7) + -2 = 5(x + -2) + -7 Reorder the terms: 5(-7 + 3x) + -2 = 5(x + -2) + -7 (-7 * 5 + 3x * 5) + -2 = 5(x + -2) + -7 (-35 + 15x) + -2 = 5(x + -2) + -7 Reorder the terms: -35 + -2 + 15x = 5(x + -2) + -7 Combine like terms: -35 + -2 = -37 -37 + 15x = 5(x + -2) + -7 Reorder the terms: -37 + 15x = 5(-2 + x) + -7 -37 + 15x = (-2 * 5 + x * 5) + -7 -37 + 15x = (-10 + 5x) + -7 Reorder the terms: -37 + 15x = -10 + -7 + 5x Combine like terms: -10 + -7 = -17 -37 + 15x = -17 + 5x Solving -37 + 15x = -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 + 15x + -5x = -17 + 5x + -5x Combine like terms: 15x + -5x = 10x -37 + 10x = -17 + 5x + -5x Combine like terms: 5x + -5x = 0 -37 + 10x = -17 + 0 -37 + 10x = -17 Add '37' to each side of the equation. -37 + 37 + 10x = -17 + 37 Combine like terms: -37 + 37 = 0 0 + 10x = -17 + 37 10x = -17 + 37 Combine like terms: -17 + 37 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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