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Simplifying 4(2x + -1) + -1 = 2(x + 1) Reorder the terms: 4(-1 + 2x) + -1 = 2(x + 1) (-1 * 4 + 2x * 4) + -1 = 2(x + 1) (-4 + 8x) + -1 = 2(x + 1) Reorder the terms: -4 + -1 + 8x = 2(x + 1) Combine like terms: -4 + -1 = -5 -5 + 8x = 2(x + 1) Reorder the terms: -5 + 8x = 2(1 + x) -5 + 8x = (1 * 2 + x * 2) -5 + 8x = (2 + 2x) Solving -5 + 8x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 8x + -2x = 2 + 2x + -2x Combine like terms: 8x + -2x = 6x -5 + 6x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 6x = 2 + 0 -5 + 6x = 2 Add '5' to each side of the equation. -5 + 5 + 6x = 2 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 2 + 5 6x = 2 + 5 Combine like terms: 2 + 5 = 7 6x = 7 Divide each side by '6'. x = 1.166666667 Simplifying x = 1.166666667
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