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Simplifying 4x + 1 * 3x + 2 + 2x + 3x + 4 = 5(2x + 2) Multiply 1 * 3 4x + 3x + 2 + 2x + 3x + 4 = 5(2x + 2) Reorder the terms: 2 + 4 + 4x + 3x + 2x + 3x = 5(2x + 2) Combine like terms: 2 + 4 = 6 6 + 4x + 3x + 2x + 3x = 5(2x + 2) Combine like terms: 4x + 3x = 7x 6 + 7x + 2x + 3x = 5(2x + 2) Combine like terms: 7x + 2x = 9x 6 + 9x + 3x = 5(2x + 2) Combine like terms: 9x + 3x = 12x 6 + 12x = 5(2x + 2) Reorder the terms: 6 + 12x = 5(2 + 2x) 6 + 12x = (2 * 5 + 2x * 5) 6 + 12x = (10 + 10x) Solving 6 + 12x = 10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 12x + -10x = 10 + 10x + -10x Combine like terms: 12x + -10x = 2x 6 + 2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 2x = 10 + 0 6 + 2x = 10 Add '-6' to each side of the equation. 6 + -6 + 2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 10 + -6 2x = 10 + -6 Combine like terms: 10 + -6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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