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Simplifying 4x + 1 + 3x + 2 + 2x + 3 + 2 + 4 = 5(2x + 2) Reorder the terms: 1 + 2 + 3 + 2 + 4 + 4x + 3x + 2x = 5(2x + 2) Combine like terms: 1 + 2 = 3 3 + 3 + 2 + 4 + 4x + 3x + 2x = 5(2x + 2) Combine like terms: 3 + 3 = 6 6 + 2 + 4 + 4x + 3x + 2x = 5(2x + 2) Combine like terms: 6 + 2 = 8 8 + 4 + 4x + 3x + 2x = 5(2x + 2) Combine like terms: 8 + 4 = 12 12 + 4x + 3x + 2x = 5(2x + 2) Combine like terms: 4x + 3x = 7x 12 + 7x + 2x = 5(2x + 2) Combine like terms: 7x + 2x = 9x 12 + 9x = 5(2x + 2) Reorder the terms: 12 + 9x = 5(2 + 2x) 12 + 9x = (2 * 5 + 2x * 5) 12 + 9x = (10 + 10x) Solving 12 + 9x = 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 + 9x + -10x = 10 + 10x + -10x Combine like terms: 9x + -10x = -1x 12 + -1x = 10 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -1x = 10 + 0 12 + -1x = 10 Add '-12' to each side of the equation. 12 + -12 + -1x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 10 + -12 -1x = 10 + -12 Combine like terms: 10 + -12 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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