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Simplifying 5(x + -8) + 5 = 3(x + 4) + -7 Reorder the terms: 5(-8 + x) + 5 = 3(x + 4) + -7 (-8 * 5 + x * 5) + 5 = 3(x + 4) + -7 (-40 + 5x) + 5 = 3(x + 4) + -7 Reorder the terms: -40 + 5 + 5x = 3(x + 4) + -7 Combine like terms: -40 + 5 = -35 -35 + 5x = 3(x + 4) + -7 Reorder the terms: -35 + 5x = 3(4 + x) + -7 -35 + 5x = (4 * 3 + x * 3) + -7 -35 + 5x = (12 + 3x) + -7 Reorder the terms: -35 + 5x = 12 + -7 + 3x Combine like terms: 12 + -7 = 5 -35 + 5x = 5 + 3x Solving -35 + 5x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 5x + -3x = 5 + 3x + -3x Combine like terms: 5x + -3x = 2x -35 + 2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 2x = 5 + 0 -35 + 2x = 5 Add '35' to each side of the equation. -35 + 35 + 2x = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 5 + 35 2x = 5 + 35 Combine like terms: 5 + 35 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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