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