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Simplifying 4x + -2 = 5 + 3(2x + 1) Reorder the terms: -2 + 4x = 5 + 3(2x + 1) Reorder the terms: -2 + 4x = 5 + 3(1 + 2x) -2 + 4x = 5 + (1 * 3 + 2x * 3) -2 + 4x = 5 + (3 + 6x) Combine like terms: 5 + 3 = 8 -2 + 4x = 8 + 6x Solving -2 + 4x = 8 + 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. -2 + 4x + -6x = 8 + 6x + -6x Combine like terms: 4x + -6x = -2x -2 + -2x = 8 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + -2x = 8 + 0 -2 + -2x = 8 Add '2' to each side of the equation. -2 + 2 + -2x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 8 + 2 -2x = 8 + 2 Combine like terms: 8 + 2 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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