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Simplifying 4x + 1 + 3x + 2 + 2 + 3 + x + 4 = 5(2x + 2) Reorder the terms: 1 + 2 + 2 + 3 + 4 + 4x + 3x + x = 5(2x + 2) Combine like terms: 1 + 2 = 3 3 + 2 + 3 + 4 + 4x + 3x + x = 5(2x + 2) Combine like terms: 3 + 2 = 5 5 + 3 + 4 + 4x + 3x + x = 5(2x + 2) Combine like terms: 5 + 3 = 8 8 + 4 + 4x + 3x + x = 5(2x + 2) Combine like terms: 8 + 4 = 12 12 + 4x + 3x + x = 5(2x + 2) Combine like terms: 4x + 3x = 7x 12 + 7x + x = 5(2x + 2) Combine like terms: 7x + x = 8x 12 + 8x = 5(2x + 2) Reorder the terms: 12 + 8x = 5(2 + 2x) 12 + 8x = (2 * 5 + 2x * 5) 12 + 8x = (10 + 10x) Solving 12 + 8x = 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. 12 + 8x + -10x = 10 + 10x + -10x Combine like terms: 8x + -10x = -2x 12 + -2x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -2x = 10 + 0 12 + -2x = 10 Add '-12' to each side of the equation. 12 + -12 + -2x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 10 + -12 -2x = 10 + -12 Combine like terms: 10 + -12 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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