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Simplifying 4(2x + -1) = 5(x + 6) Reorder the terms: 4(-1 + 2x) = 5(x + 6) (-1 * 4 + 2x * 4) = 5(x + 6) (-4 + 8x) = 5(x + 6) Reorder the terms: -4 + 8x = 5(6 + x) -4 + 8x = (6 * 5 + x * 5) -4 + 8x = (30 + 5x) Solving -4 + 8x = 30 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 8x + -5x = 30 + 5x + -5x Combine like terms: 8x + -5x = 3x -4 + 3x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 3x = 30 + 0 -4 + 3x = 30 Add '4' to each side of the equation. -4 + 4 + 3x = 30 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 30 + 4 3x = 30 + 4 Combine like terms: 30 + 4 = 34 3x = 34 Divide each side by '3'. x = 11.33333333 Simplifying x = 11.33333333
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