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Simplifying 4x + -2 = 1(2x + 3) + 2 Reorder the terms: -2 + 4x = 1(2x + 3) + 2 Reorder the terms: -2 + 4x = 1(3 + 2x) + 2 -2 + 4x = (3 * 1 + 2x * 1) + 2 -2 + 4x = (3 + 2x) + 2 Reorder the terms: -2 + 4x = 3 + 2 + 2x Combine like terms: 3 + 2 = 5 -2 + 4x = 5 + 2x Solving -2 + 4x = 5 + 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. -2 + 4x + -2x = 5 + 2x + -2x Combine like terms: 4x + -2x = 2x -2 + 2x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 2x = 5 + 0 -2 + 2x = 5 Add '2' to each side of the equation. -2 + 2 + 2x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 5 + 2 2x = 5 + 2 Combine like terms: 5 + 2 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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