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Simplifying 8(x + -5) + 2(7 + -3x) = 74 Reorder the terms: 8(-5 + x) + 2(7 + -3x) = 74 (-5 * 8 + x * 8) + 2(7 + -3x) = 74 (-40 + 8x) + 2(7 + -3x) = 74 -40 + 8x + (7 * 2 + -3x * 2) = 74 -40 + 8x + (14 + -6x) = 74 Reorder the terms: -40 + 14 + 8x + -6x = 74 Combine like terms: -40 + 14 = -26 -26 + 8x + -6x = 74 Combine like terms: 8x + -6x = 2x -26 + 2x = 74 Solving -26 + 2x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + 2x = 74 + 26 Combine like terms: -26 + 26 = 0 0 + 2x = 74 + 26 2x = 74 + 26 Combine like terms: 74 + 26 = 100 2x = 100 Divide each side by '2'. x = 50 Simplifying x = 50
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