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Simplifying 4(2x + -1) + 5 = 3 + 2(x + 1) Reorder the terms: 4(-1 + 2x) + 5 = 3 + 2(x + 1) (-1 * 4 + 2x * 4) + 5 = 3 + 2(x + 1) (-4 + 8x) + 5 = 3 + 2(x + 1) Reorder the terms: -4 + 5 + 8x = 3 + 2(x + 1) Combine like terms: -4 + 5 = 1 1 + 8x = 3 + 2(x + 1) Reorder the terms: 1 + 8x = 3 + 2(1 + x) 1 + 8x = 3 + (1 * 2 + x * 2) 1 + 8x = 3 + (2 + 2x) Combine like terms: 3 + 2 = 5 1 + 8x = 5 + 2x Solving 1 + 8x = 5 + 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. 1 + 8x + -2x = 5 + 2x + -2x Combine like terms: 8x + -2x = 6x 1 + 6x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 6x = 5 + 0 1 + 6x = 5 Add '-1' to each side of the equation. 1 + -1 + 6x = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 5 + -1 6x = 5 + -1 Combine like terms: 5 + -1 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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