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Simplifying 5(2x + -7) + -2 = 5(x + -3) + 3 Reorder the terms: 5(-7 + 2x) + -2 = 5(x + -3) + 3 (-7 * 5 + 2x * 5) + -2 = 5(x + -3) + 3 (-35 + 10x) + -2 = 5(x + -3) + 3 Reorder the terms: -35 + -2 + 10x = 5(x + -3) + 3 Combine like terms: -35 + -2 = -37 -37 + 10x = 5(x + -3) + 3 Reorder the terms: -37 + 10x = 5(-3 + x) + 3 -37 + 10x = (-3 * 5 + x * 5) + 3 -37 + 10x = (-15 + 5x) + 3 Reorder the terms: -37 + 10x = -15 + 3 + 5x Combine like terms: -15 + 3 = -12 -37 + 10x = -12 + 5x Solving -37 + 10x = -12 + 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 = -12 + 5x + -5x Combine like terms: 10x + -5x = 5x -37 + 5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -37 + 5x = -12 + 0 -37 + 5x = -12 Add '37' to each side of the equation. -37 + 37 + 5x = -12 + 37 Combine like terms: -37 + 37 = 0 0 + 5x = -12 + 37 5x = -12 + 37 Combine like terms: -12 + 37 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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