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