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Simplifying 3x + -1 = 8 + -2(2x + 1) Reorder the terms: -1 + 3x = 8 + -2(2x + 1) Reorder the terms: -1 + 3x = 8 + -2(1 + 2x) -1 + 3x = 8 + (1 * -2 + 2x * -2) -1 + 3x = 8 + (-2 + -4x) Combine like terms: 8 + -2 = 6 -1 + 3x = 6 + -4x Solving -1 + 3x = 6 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -1 + 3x + 4x = 6 + -4x + 4x Combine like terms: 3x + 4x = 7x -1 + 7x = 6 + -4x + 4x Combine like terms: -4x + 4x = 0 -1 + 7x = 6 + 0 -1 + 7x = 6 Add '1' to each side of the equation. -1 + 1 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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