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Simplifying 2(x + 1) + 2(x + 1) + 2(x + 1) + 2(x + 1) = 5(x + 10) Reorder the terms: 2(1 + x) + 2(x + 1) + 2(x + 1) + 2(x + 1) = 5(x + 10) (1 * 2 + x * 2) + 2(x + 1) + 2(x + 1) + 2(x + 1) = 5(x + 10) (2 + 2x) + 2(x + 1) + 2(x + 1) + 2(x + 1) = 5(x + 10) Reorder the terms: 2 + 2x + 2(1 + x) + 2(x + 1) + 2(x + 1) = 5(x + 10) 2 + 2x + (1 * 2 + x * 2) + 2(x + 1) + 2(x + 1) = 5(x + 10) 2 + 2x + (2 + 2x) + 2(x + 1) + 2(x + 1) = 5(x + 10) Reorder the terms: 2 + 2x + 2 + 2x + 2(1 + x) + 2(x + 1) = 5(x + 10) 2 + 2x + 2 + 2x + (1 * 2 + x * 2) + 2(x + 1) = 5(x + 10) 2 + 2x + 2 + 2x + (2 + 2x) + 2(x + 1) = 5(x + 10) Reorder the terms: 2 + 2x + 2 + 2x + 2 + 2x + 2(1 + x) = 5(x + 10) 2 + 2x + 2 + 2x + 2 + 2x + (1 * 2 + x * 2) = 5(x + 10) 2 + 2x + 2 + 2x + 2 + 2x + (2 + 2x) = 5(x + 10) Reorder the terms: 2 + 2 + 2 + 2 + 2x + 2x + 2x + 2x = 5(x + 10) Combine like terms: 2 + 2 = 4 4 + 2 + 2 + 2x + 2x + 2x + 2x = 5(x + 10) Combine like terms: 4 + 2 = 6 6 + 2 + 2x + 2x + 2x + 2x = 5(x + 10) Combine like terms: 6 + 2 = 8 8 + 2x + 2x + 2x + 2x = 5(x + 10) Combine like terms: 2x + 2x = 4x 8 + 4x + 2x + 2x = 5(x + 10) Combine like terms: 4x + 2x = 6x 8 + 6x + 2x = 5(x + 10) Combine like terms: 6x + 2x = 8x 8 + 8x = 5(x + 10) Reorder the terms: 8 + 8x = 5(10 + x) 8 + 8x = (10 * 5 + x * 5) 8 + 8x = (50 + 5x) Solving 8 + 8x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 8 + 8x + -5x = 50 + 5x + -5x Combine like terms: 8x + -5x = 3x 8 + 3x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 3x = 50 + 0 8 + 3x = 50 Add '-8' to each side of the equation. 8 + -8 + 3x = 50 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 50 + -8 3x = 50 + -8 Combine like terms: 50 + -8 = 42 3x = 42 Divide each side by '3'. x = 14 Simplifying x = 14
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