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Simplifying 3(5x + -1) = 2(3x + 6) + 417 Reorder the terms: 3(-1 + 5x) = 2(3x + 6) + 417 (-1 * 3 + 5x * 3) = 2(3x + 6) + 417 (-3 + 15x) = 2(3x + 6) + 417 Reorder the terms: -3 + 15x = 2(6 + 3x) + 417 -3 + 15x = (6 * 2 + 3x * 2) + 417 -3 + 15x = (12 + 6x) + 417 Reorder the terms: -3 + 15x = 12 + 417 + 6x Combine like terms: 12 + 417 = 429 -3 + 15x = 429 + 6x Solving -3 + 15x = 429 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -3 + 15x + -6x = 429 + 6x + -6x Combine like terms: 15x + -6x = 9x -3 + 9x = 429 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + 9x = 429 + 0 -3 + 9x = 429 Add '3' to each side of the equation. -3 + 3 + 9x = 429 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 429 + 3 9x = 429 + 3 Combine like terms: 429 + 3 = 432 9x = 432 Divide each side by '9'. x = 48 Simplifying x = 48
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