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Simplifying 4x + 1 + 2 + 2x + 3 + x + 4 = 5(2x + 2) Reorder the terms: 1 + 2 + 3 + 4 + 4x + 2x + x = 5(2x + 2) Combine like terms: 1 + 2 = 3 3 + 3 + 4 + 4x + 2x + x = 5(2x + 2) Combine like terms: 3 + 3 = 6 6 + 4 + 4x + 2x + x = 5(2x + 2) Combine like terms: 6 + 4 = 10 10 + 4x + 2x + x = 5(2x + 2) Combine like terms: 4x + 2x = 6x 10 + 6x + x = 5(2x + 2) Combine like terms: 6x + x = 7x 10 + 7x = 5(2x + 2) Reorder the terms: 10 + 7x = 5(2 + 2x) 10 + 7x = (2 * 5 + 2x * 5) 10 + 7x = (10 + 10x) Add '-10' to each side of the equation. 10 + -10 + 7x = 10 + -10 + 10x Combine like terms: 10 + -10 = 0 0 + 7x = 10 + -10 + 10x 7x = 10 + -10 + 10x Combine like terms: 10 + -10 = 0 7x = 0 + 10x 7x = 10x Solving 7x = 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. 7x + -10x = 10x + -10x Combine like terms: 7x + -10x = -3x -3x = 10x + -10x Combine like terms: 10x + -10x = 0 -3x = 0 Divide each side by '-3'. x = 0 Simplifying x = 0
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