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Simplifying 40(2x + -1) = 8(x + 4) + 3 Reorder the terms: 40(-1 + 2x) = 8(x + 4) + 3 (-1 * 40 + 2x * 40) = 8(x + 4) + 3 (-40 + 80x) = 8(x + 4) + 3 Reorder the terms: -40 + 80x = 8(4 + x) + 3 -40 + 80x = (4 * 8 + x * 8) + 3 -40 + 80x = (32 + 8x) + 3 Reorder the terms: -40 + 80x = 32 + 3 + 8x Combine like terms: 32 + 3 = 35 -40 + 80x = 35 + 8x Solving -40 + 80x = 35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -40 + 80x + -8x = 35 + 8x + -8x Combine like terms: 80x + -8x = 72x -40 + 72x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 -40 + 72x = 35 + 0 -40 + 72x = 35 Add '40' to each side of the equation. -40 + 40 + 72x = 35 + 40 Combine like terms: -40 + 40 = 0 0 + 72x = 35 + 40 72x = 35 + 40 Combine like terms: 35 + 40 = 75 72x = 75 Divide each side by '72'. x = 1.041666667 Simplifying x = 1.041666667
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