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Simplifying 8(x + -5) = 7(2 + x) Reorder the terms: 8(-5 + x) = 7(2 + x) (-5 * 8 + x * 8) = 7(2 + x) (-40 + 8x) = 7(2 + x) -40 + 8x = (2 * 7 + x * 7) -40 + 8x = (14 + 7x) Solving -40 + 8x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -40 + 8x + -7x = 14 + 7x + -7x Combine like terms: 8x + -7x = 1x -40 + 1x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -40 + 1x = 14 + 0 -40 + 1x = 14 Add '40' to each side of the equation. -40 + 40 + 1x = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = 14 + 40 1x = 14 + 40 Combine like terms: 14 + 40 = 54 1x = 54 Divide each side by '1'. x = 54 Simplifying x = 54
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