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Simplifying 7(x + -8) + 19 = 5(x + -7) Reorder the terms: 7(-8 + x) + 19 = 5(x + -7) (-8 * 7 + x * 7) + 19 = 5(x + -7) (-56 + 7x) + 19 = 5(x + -7) Reorder the terms: -56 + 19 + 7x = 5(x + -7) Combine like terms: -56 + 19 = -37 -37 + 7x = 5(x + -7) Reorder the terms: -37 + 7x = 5(-7 + x) -37 + 7x = (-7 * 5 + x * 5) -37 + 7x = (-35 + 5x) Solving -37 + 7x = -35 + 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 + 7x + -5x = -35 + 5x + -5x Combine like terms: 7x + -5x = 2x -37 + 2x = -35 + 5x + -5x Combine like terms: 5x + -5x = 0 -37 + 2x = -35 + 0 -37 + 2x = -35 Add '37' to each side of the equation. -37 + 37 + 2x = -35 + 37 Combine like terms: -37 + 37 = 0 0 + 2x = -35 + 37 2x = -35 + 37 Combine like terms: -35 + 37 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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