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Simplifying 8(3x + -5) + 2(x + 4) + 7 = 1 Reorder the terms: 8(-5 + 3x) + 2(x + 4) + 7 = 1 (-5 * 8 + 3x * 8) + 2(x + 4) + 7 = 1 (-40 + 24x) + 2(x + 4) + 7 = 1 Reorder the terms: -40 + 24x + 2(4 + x) + 7 = 1 -40 + 24x + (4 * 2 + x * 2) + 7 = 1 -40 + 24x + (8 + 2x) + 7 = 1 Reorder the terms: -40 + 8 + 7 + 24x + 2x = 1 Combine like terms: -40 + 8 = -32 -32 + 7 + 24x + 2x = 1 Combine like terms: -32 + 7 = -25 -25 + 24x + 2x = 1 Combine like terms: 24x + 2x = 26x -25 + 26x = 1 Solving -25 + 26x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 26x = 1 + 25 Combine like terms: -25 + 25 = 0 0 + 26x = 1 + 25 26x = 1 + 25 Combine like terms: 1 + 25 = 26 26x = 26 Divide each side by '26'. x = 1 Simplifying x = 1
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