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Simplifying 2 + -1(4x + 1) = 3 + -1(2x + -1) Reorder the terms: 2 + -1(1 + 4x) = 3 + -1(2x + -1) 2 + (1 * -1 + 4x * -1) = 3 + -1(2x + -1) 2 + (-1 + -4x) = 3 + -1(2x + -1) Combine like terms: 2 + -1 = 1 1 + -4x = 3 + -1(2x + -1) Reorder the terms: 1 + -4x = 3 + -1(-1 + 2x) 1 + -4x = 3 + (-1 * -1 + 2x * -1) 1 + -4x = 3 + (1 + -2x) Combine like terms: 3 + 1 = 4 1 + -4x = 4 + -2x Solving 1 + -4x = 4 + -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 + -4x + 2x = 4 + -2x + 2x Combine like terms: -4x + 2x = -2x 1 + -2x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + -2x = 4 + 0 1 + -2x = 4 Add '-1' to each side of the equation. 1 + -1 + -2x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 4 + -1 -2x = 4 + -1 Combine like terms: 4 + -1 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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