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Simplifying 17 + -38 + 2x + 6(5 + 2x) = 2(x + 5) * 5 + 36 17 + -38 + 2x + (5 * 6 + 2x * 6) = 2(x + 5) * 5 + 36 17 + -38 + 2x + (30 + 12x) = 2(x + 5) * 5 + 36 Reorder the terms: 17 + -38 + 30 + 2x + 12x = 2(x + 5) * 5 + 36 Combine like terms: 17 + -38 = -21 -21 + 30 + 2x + 12x = 2(x + 5) * 5 + 36 Combine like terms: -21 + 30 = 9 9 + 2x + 12x = 2(x + 5) * 5 + 36 Combine like terms: 2x + 12x = 14x 9 + 14x = 2(x + 5) * 5 + 36 Reorder the terms: 9 + 14x = 2(5 + x) * 5 + 36 Reorder the terms for easier multiplication: 9 + 14x = 2 * 5(5 + x) + 36 Multiply 2 * 5 9 + 14x = 10(5 + x) + 36 9 + 14x = (5 * 10 + x * 10) + 36 9 + 14x = (50 + 10x) + 36 Reorder the terms: 9 + 14x = 50 + 36 + 10x Combine like terms: 50 + 36 = 86 9 + 14x = 86 + 10x Solving 9 + 14x = 86 + 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. 9 + 14x + -10x = 86 + 10x + -10x Combine like terms: 14x + -10x = 4x 9 + 4x = 86 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + 4x = 86 + 0 9 + 4x = 86 Add '-9' to each side of the equation. 9 + -9 + 4x = 86 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 86 + -9 4x = 86 + -9 Combine like terms: 86 + -9 = 77 4x = 77 Divide each side by '4'. x = 19.25 Simplifying x = 19.25
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