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Simplifying 5(4x + -8) + -7 = 5(x + -3) + 58 Reorder the terms: 5(-8 + 4x) + -7 = 5(x + -3) + 58 (-8 * 5 + 4x * 5) + -7 = 5(x + -3) + 58 (-40 + 20x) + -7 = 5(x + -3) + 58 Reorder the terms: -40 + -7 + 20x = 5(x + -3) + 58 Combine like terms: -40 + -7 = -47 -47 + 20x = 5(x + -3) + 58 Reorder the terms: -47 + 20x = 5(-3 + x) + 58 -47 + 20x = (-3 * 5 + x * 5) + 58 -47 + 20x = (-15 + 5x) + 58 Reorder the terms: -47 + 20x = -15 + 58 + 5x Combine like terms: -15 + 58 = 43 -47 + 20x = 43 + 5x Solving -47 + 20x = 43 + 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. -47 + 20x + -5x = 43 + 5x + -5x Combine like terms: 20x + -5x = 15x -47 + 15x = 43 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 15x = 43 + 0 -47 + 15x = 43 Add '47' to each side of the equation. -47 + 47 + 15x = 43 + 47 Combine like terms: -47 + 47 = 0 0 + 15x = 43 + 47 15x = 43 + 47 Combine like terms: 43 + 47 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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