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Simplifying 3(x + 2) + 4(2x + 1) + x = 13 + 10x Reorder the terms: 3(2 + x) + 4(2x + 1) + x = 13 + 10x (2 * 3 + x * 3) + 4(2x + 1) + x = 13 + 10x (6 + 3x) + 4(2x + 1) + x = 13 + 10x Reorder the terms: 6 + 3x + 4(1 + 2x) + x = 13 + 10x 6 + 3x + (1 * 4 + 2x * 4) + x = 13 + 10x 6 + 3x + (4 + 8x) + x = 13 + 10x Reorder the terms: 6 + 4 + 3x + 8x + x = 13 + 10x Combine like terms: 6 + 4 = 10 10 + 3x + 8x + x = 13 + 10x Combine like terms: 3x + 8x = 11x 10 + 11x + x = 13 + 10x Combine like terms: 11x + x = 12x 10 + 12x = 13 + 10x Solving 10 + 12x = 13 + 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. 10 + 12x + -10x = 13 + 10x + -10x Combine like terms: 12x + -10x = 2x 10 + 2x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + 2x = 13 + 0 10 + 2x = 13 Add '-10' to each side of the equation. 10 + -10 + 2x = 13 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 13 + -10 2x = 13 + -10 Combine like terms: 13 + -10 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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