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Simplifying 5(x + -8) + -7 = 38 + -4x Reorder the terms: 5(-8 + x) + -7 = 38 + -4x (-8 * 5 + x * 5) + -7 = 38 + -4x (-40 + 5x) + -7 = 38 + -4x Reorder the terms: -40 + -7 + 5x = 38 + -4x Combine like terms: -40 + -7 = -47 -47 + 5x = 38 + -4x Solving -47 + 5x = 38 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -47 + 5x + 4x = 38 + -4x + 4x Combine like terms: 5x + 4x = 9x -47 + 9x = 38 + -4x + 4x Combine like terms: -4x + 4x = 0 -47 + 9x = 38 + 0 -47 + 9x = 38 Add '47' to each side of the equation. -47 + 47 + 9x = 38 + 47 Combine like terms: -47 + 47 = 0 0 + 9x = 38 + 47 9x = 38 + 47 Combine like terms: 38 + 47 = 85 9x = 85 Divide each side by '9'. x = 9.444444444 Simplifying x = 9.444444444
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