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Simplifying 5(3x + 42) + 6(x + 36) = 17 Reorder the terms: 5(42 + 3x) + 6(x + 36) = 17 (42 * 5 + 3x * 5) + 6(x + 36) = 17 (210 + 15x) + 6(x + 36) = 17 Reorder the terms: 210 + 15x + 6(36 + x) = 17 210 + 15x + (36 * 6 + x * 6) = 17 210 + 15x + (216 + 6x) = 17 Reorder the terms: 210 + 216 + 15x + 6x = 17 Combine like terms: 210 + 216 = 426 426 + 15x + 6x = 17 Combine like terms: 15x + 6x = 21x 426 + 21x = 17 Solving 426 + 21x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-426' to each side of the equation. 426 + -426 + 21x = 17 + -426 Combine like terms: 426 + -426 = 0 0 + 21x = 17 + -426 21x = 17 + -426 Combine like terms: 17 + -426 = -409 21x = -409 Divide each side by '21'. x = -19.47619048 Simplifying x = -19.47619048
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