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Simplifying 8(x + -7) = 5x + -47 Reorder the terms: 8(-7 + x) = 5x + -47 (-7 * 8 + x * 8) = 5x + -47 (-56 + 8x) = 5x + -47 Reorder the terms: -56 + 8x = -47 + 5x Solving -56 + 8x = -47 + 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. -56 + 8x + -5x = -47 + 5x + -5x Combine like terms: 8x + -5x = 3x -56 + 3x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 -56 + 3x = -47 + 0 -56 + 3x = -47 Add '56' to each side of the equation. -56 + 56 + 3x = -47 + 56 Combine like terms: -56 + 56 = 0 0 + 3x = -47 + 56 3x = -47 + 56 Combine like terms: -47 + 56 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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