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Simplifying 5(x + -7) + -2(x + 1) = 23 Reorder the terms: 5(-7 + x) + -2(x + 1) = 23 (-7 * 5 + x * 5) + -2(x + 1) = 23 (-35 + 5x) + -2(x + 1) = 23 Reorder the terms: -35 + 5x + -2(1 + x) = 23 -35 + 5x + (1 * -2 + x * -2) = 23 -35 + 5x + (-2 + -2x) = 23 Reorder the terms: -35 + -2 + 5x + -2x = 23 Combine like terms: -35 + -2 = -37 -37 + 5x + -2x = 23 Combine like terms: 5x + -2x = 3x -37 + 3x = 23 Solving -37 + 3x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 3x = 23 + 37 Combine like terms: -37 + 37 = 0 0 + 3x = 23 + 37 3x = 23 + 37 Combine like terms: 23 + 37 = 60 3x = 60 Divide each side by '3'. x = 20 Simplifying x = 20
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