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Simplifying 40(2x + -1) = 8(x + 4) + 3x Reorder the terms: 40(-1 + 2x) = 8(x + 4) + 3x (-1 * 40 + 2x * 40) = 8(x + 4) + 3x (-40 + 80x) = 8(x + 4) + 3x Reorder the terms: -40 + 80x = 8(4 + x) + 3x -40 + 80x = (4 * 8 + x * 8) + 3x -40 + 80x = (32 + 8x) + 3x Combine like terms: 8x + 3x = 11x -40 + 80x = 32 + 11x Solving -40 + 80x = 32 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -40 + 80x + -11x = 32 + 11x + -11x Combine like terms: 80x + -11x = 69x -40 + 69x = 32 + 11x + -11x Combine like terms: 11x + -11x = 0 -40 + 69x = 32 + 0 -40 + 69x = 32 Add '40' to each side of the equation. -40 + 40 + 69x = 32 + 40 Combine like terms: -40 + 40 = 0 0 + 69x = 32 + 40 69x = 32 + 40 Combine like terms: 32 + 40 = 72 69x = 72 Divide each side by '69'. x = 1.043478261 Simplifying x = 1.043478261
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