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Simplifying 1(4x + 1) + 2 = 2(2x + -1) + 2x Reorder the terms: 1(1 + 4x) + 2 = 2(2x + -1) + 2x (1 * 1 + 4x * 1) + 2 = 2(2x + -1) + 2x (1 + 4x) + 2 = 2(2x + -1) + 2x Reorder the terms: 1 + 2 + 4x = 2(2x + -1) + 2x Combine like terms: 1 + 2 = 3 3 + 4x = 2(2x + -1) + 2x Reorder the terms: 3 + 4x = 2(-1 + 2x) + 2x 3 + 4x = (-1 * 2 + 2x * 2) + 2x 3 + 4x = (-2 + 4x) + 2x Combine like terms: 4x + 2x = 6x 3 + 4x = -2 + 6x Solving 3 + 4x = -2 + 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. 3 + 4x + -6x = -2 + 6x + -6x Combine like terms: 4x + -6x = -2x 3 + -2x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + -2x = -2 + 0 3 + -2x = -2 Add '-3' to each side of the equation. 3 + -3 + -2x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = -2 + -3 -2x = -2 + -3 Combine like terms: -2 + -3 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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