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